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1145151040 = 265111132879
BaseRepresentation
bin100010001000001…
…1001111001000000
32221210210200220111
41010100121321000
54321124313130
6305344321104
740243423525
oct10420317100
92853720814
101145151040
11538453a20
1227b613194
1315332bc87
14ac13314c
156a80402a
hex44419e40

1145151040 has 112 divisors (see below), whose sum is σ = 3002158080. Its totient is φ = 412590080.

The previous prime is 1145151031. The next prime is 1145151047. The reversal of 1145151040 is 401515411.

It is a happy number.

It is a super-2 number, since 2×11451510402 = 2622741808826163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1145151047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396321 + ... + 399199.

Almost surely, 21145151040 is an apocalyptic number.

1145151040 is a gapful number since it is divisible by the number (10) 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 1145151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501079040).

1145151040 is an abundant number, since it is smaller than the sum of its proper divisors (1857007040).

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

1145151040 is a wasteful number, since it uses less digits than its factorization.

1145151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1145151040 is about 33840.0803781551. The cubic root of 1145151040 is about 1046.2149555733.

Adding to 1145151040 its reverse (401515411), we get a palindrome (1546666451).

The spelling of 1145151040 in words is "one billion, one hundred forty-five million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 160 176 220 226 320 352 440 452 565 704 880 904 1130 1243 1760 1808 2260 2486 2879 3520 3616 4520 4972 5758 6215 7232 9040 9944 11516 12430 14395 18080 19888 23032 24860 28790 31669 36160 39776 46064 49720 57580 63338 79552 92128 99440 115160 126676 158345 184256 198880 230320 253352 316690 325327 397760 460640 506704 633380 650654 921280 1013408 1266760 1301308 1626635 2026816 2533520 2602616 3253270 3578597 5067040 5205232 6506540 7157194 10134080 10410464 13013080 14314388 17892985 20820928 26026160 28628776 35785970 52052320 57257552 71571940 104104640 114515104 143143880 229030208 286287760 572575520 1145151040