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20400231432 = 23372313813823
BaseRepresentation
bin10010111111111100…
…101101010000001000
31221122201122010120010
4102333330231100020
5313234424401212
613212143431520
71321352051250
oct227774552010
957581563503
1020400231432
1187194428a9
123b53bb55a0
131c0159a679
14db750a960
157e5e7803c
hex4bff2d408

20400231432 has 128 divisors (see below), whose sum is σ = 60880527360. Its totient is φ = 5569724160.

The previous prime is 20400231329. The next prime is 20400231437. The reversal of 20400231432 is 23413200402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20400231399 and 20400231408.

It is not an unprimeable number, because it can be changed into a prime (20400231437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334273 + ... + 5338095.

It is an arithmetic number, because the mean of its divisors is an integer number (475629120).

Almost surely, 220400231432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400231432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30440263680).

20400231432 is an abundant number, since it is smaller than the sum of its proper divisors (40480295928).

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

20400231432 is a wasteful number, since it uses less digits than its factorization.

20400231432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20400231432 its reverse (23413200402), we get a palindrome (43813431834).

The spelling of 20400231432 in words is "twenty billion, four hundred million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1381 1932 2762 3823 3864 4143 5524 7646 8286 9667 11048 11469 15292 16572 19334 22938 26761 29001 30584 31763 33144 38668 45876 53522 58002 63526 77336 80283 87929 91752 95289 107044 116004 127052 160566 175858 190578 214088 222341 232008 254104 263787 321132 351716 381156 444682 527574 615503 642264 667023 703432 762312 889364 1055148 1231006 1334046 1778728 1846509 2110296 2462012 2668092 3693018 4924024 5279563 5336184 7386036 10559126 14772072 15838689 21118252 31677378 36956941 42236504 63354756 73913882 110870823 121429949 126709512 147827764 221741646 242859898 295655528 364289847 443483292 485719796 728579694 850009643 886966584 971439592 1457159388 1700019286 2550028929 2914318776 3400038572 5100057858 6800077144 10200115716 20400231432