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151060257440 = 2552368360101
BaseRepresentation
bin1000110010101111100…
…1001001101010100000
3112102220122112011122122
42030223321021222200
54433332411214230
6153221321323412
713625262000551
oct2145371115240
9472818464578
10151060257440
1159078639274
1225339936568
1311325126821
147450506328
153de1c14be5
hex232be49aa0

151060257440 has 96 divisors (see below), whose sum is σ = 372947815296. Its totient is φ = 57711385600.

The previous prime is 151060257437. The next prime is 151060257493. The reversal of 151060257440 is 44752060151.

It is a self number, because there is not a number n which added to its sum of digits gives 151060257440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483390 + ... + 2543490.

It is an arithmetic number, because the mean of its divisors is an integer number (3884873076).

Almost surely, 2151060257440 is an apocalyptic number.

151060257440 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 151060257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186473907648).

151060257440 is an abundant number, since it is smaller than the sum of its proper divisors (221887557856).

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

151060257440 is a wasteful number, since it uses less digits than its factorization.

151060257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60822 (or 60814 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 151060257440 in words is "one hundred fifty-one billion, sixty million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 683 736 920 1366 1840 2732 3415 3680 5464 6830 10928 13660 15709 21856 27320 31418 54640 60101 62836 78545 109280 120202 125672 157090 240404 251344 300505 314180 480808 502688 601010 628360 961616 1202020 1256720 1382323 1923232 2404040 2513440 2764646 4808080 5529292 6911615 9616160 11058584 13823230 22117168 27646460 41048983 44234336 55292920 82097966 110585840 164195932 205244915 221171680 328391864 410489830 656783728 820979660 944126609 1313567456 1641959320 1888253218 3283918640 3776506436 4720633045 6567837280 7553012872 9441266090 15106025744 18882532180 30212051488 37765064360 75530128720 151060257440