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40151412 = 223271371163
BaseRepresentation
bin1001100100101…
…0100101110100
32210112220101100
42121022211310
540234321122
63552330100
7665165340
oct231124564
983486340
1040151412
1120734394
1211543930
13841a742
145492620
1537d1aac
hex264a974

40151412 has 72 divisors (see below), whose sum is σ = 116940096. Its totient is φ = 11378304.

The previous prime is 40151407. The next prime is 40151453. The reversal of 40151412 is 21415104.

It is a super-2 number, since 2×401514122 = 3224271771187488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33943 + ... + 35105.

It is an arithmetic number, because the mean of its divisors is an integer number (1624168).

Almost surely, 240151412 is an apocalyptic number.

40151412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40151412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58470048).

40151412 is an abundant number, since it is smaller than the sum of its proper divisors (76788684).

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

40151412 is a wasteful number, since it uses less digits than its factorization.

40151412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40151412 is about 6336.5141836818. The cubic root of 40151412 is about 342.4261641323.

Adding to 40151412 its reverse (21415104), we get a palindrome (61566516).

The spelling of 40151412 in words is "forty million, one hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1163 1233 1644 1918 2326 2466 2877 3489 3836 4652 4932 5754 6978 8141 8631 10467 11508 13956 16282 17262 20934 24423 32564 34524 41868 48846 73269 97692 146538 159331 293076 318662 477993 637324 955986 1115317 1433979 1911972 2230634 2867958 3345951 4461268 5735916 6691902 10037853 13383804 20075706 40151412