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288874372140 = 22335737328117
BaseRepresentation
bin1000011010000100100…
…00010001110000101100
31000121122011002120111000
410031002100101300230
514213103314402030
6340412420200300
726604401435454
oct4150220216054
91017564076430
10288874372140
11101569063432
1247b9b539090
1321318b89863
14dda56ccd64
1577aaaa6860
hex4342411c2c

288874372140 has 96 divisors (see below), whose sum is σ = 911031629760. Its totient is φ = 75977906688.

The previous prime is 288874372117. The next prime is 288874372177. The reversal of 288874372140 is 41273478882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3624639 + ... + 3703478.

It is an arithmetic number, because the mean of its divisors is an integer number (9489912810).

Almost surely, 2288874372140 is an apocalyptic number.

288874372140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288874372140 is an abundant number, since it is smaller than the sum of its proper divisors (622157257620).

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

288874372140 is a wasteful number, since it uses less digits than its factorization.

288874372140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328208 (or 7328200 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 288874372140 in words is "two hundred eighty-eight billion, eight hundred seventy-four million, three hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 7328117 14656234 21984351 29312468 36640585 43968702 65953053 73281170 87937404 109921755 131906106 146562340 197859159 219843510 263812212 329765265 395718318 439687020 534952541 659530530 791436636 989295795 1069905082 1319061060 1604857623 1978591590 2139810164 2674762705 3209715246 3957183180 4814572869 5349525410 6419430492 8024288115 9629145738 10699050820 14443718607 16048576230 19258291476 24072864345 28887437214 32097152460 48145728690 57774874428 72218593035 96291457380 144437186070 288874372140