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102656000040 = 233511101769997
BaseRepresentation
bin101111110011011000…
…1100100000000101000
3100210222021101010100120
41133212301210000220
53140214414000130
6115054242203240
710262624413566
oct1374661440050
9323867333316
10102656000040
113a5996aa260
1217a8b353520
1398acb5bab9
144d7babca36
152a0c4cc910
hex17e6c64028

102656000040 has 128 divisors (see below), whose sum is σ = 339291918720. Its totient is φ = 24639872000.

The previous prime is 102656000023. The next prime is 102656000129. The reversal of 102656000040 is 40000656201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251679 + ... + 518318.

It is an arithmetic number, because the mean of its divisors is an integer number (2650718115).

Almost surely, 2102656000040 is an apocalyptic number.

102656000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102656000040 is an abundant number, since it is smaller than the sum of its proper divisors (236635918680).

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

102656000040 is a wasteful number, since it uses less digits than its factorization.

102656000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770123 (or 770119 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 102656000040 its reverse (40000656201), we get a palindrome (142656656241).

The spelling of 102656000040 in words is "one hundred two billion, six hundred fifty-six million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 769997 1539994 2309991 3079988 3849985 4619982 6159976 7699970 8469967 9239964 11549955 15399940 16939934 18479928 23099910 25409901 30799880 33879868 42349835 46199820 50819802 67759736 77769697 84699670 92399640 101639604 127049505 155539394 169399340 203279208 233309091 254099010 311078788 338798680 388848485 466618182 508198020 622157576 777696970 855466667 933236364 1016396040 1166545455 1555393940 1710933334 1866472728 2333090910 2566400001 3110787880 3421866668 4277333335 4666181820 5132800002 6843733336 8554666670 9332363640 10265600004 12832000005 17109333340 20531200008 25664000010 34218666680 51328000020 102656000040