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40134144 = 293172953
BaseRepresentation
bin1001100100011…
…0011000000000
32210112000200210
42121012120000
540233243034
63552114120
7665064111
oct231063000
983460623
1040134144
1120722416
1211535940
13841291b
14548a208
1537cb8e9
hex2646600

40134144 has 160 divisors (see below), whose sum is σ = 119322720. Its totient is φ = 11927552.

The previous prime is 40134113. The next prime is 40134169. The reversal of 40134144 is 44143104.

It is a super-2 number, since 2×401341442 = 3221499029225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40134144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757222 + ... + 757274.

It is an arithmetic number, because the mean of its divisors is an integer number (745767).

Almost surely, 240134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59661360).

40134144 is an abundant number, since it is smaller than the sum of its proper divisors (79188576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40134144 is a wasteful number, since it uses less digits than its factorization.

40134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40134144 is about 6335.1514583315. The cubic root of 40134144 is about 342.3770677861.

Adding to 40134144 its reverse (44143104), we get a palindrome (84277248).

The spelling of 40134144 in words is "forty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 53 58 64 68 87 96 102 106 116 128 136 159 174 192 204 212 232 256 272 318 348 384 408 424 464 493 512 544 636 696 768 816 848 901 928 986 1088 1272 1392 1479 1536 1537 1632 1696 1802 1856 1972 2176 2544 2703 2784 2958 3074 3264 3392 3604 3712 3944 4352 4611 5088 5406 5568 5916 6148 6528 6784 7208 7424 7888 8704 9222 10176 10812 11136 11832 12296 13056 13568 14416 14848 15776 18444 20352 21624 22272 23664 24592 26112 26129 27136 28832 31552 36888 40704 43248 44544 47328 49184 52258 57664 63104 73776 78387 81408 86496 94656 98368 104516 115328 126208 147552 156774 172992 189312 196736 209032 230656 252416 295104 313548 345984 378624 393472 418064 461312 590208 627096 691968 757248 786944 836128 1180416 1254192 1383936 1672256 2360832 2508384 3344512 5016768 6689024 10033536 13378048 20067072 40134144