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12400314432 = 2631119309019
BaseRepresentation
bin10111000110001110…
…11100100001000000
31012000012101020111220
423203013130201000
5200343440030212
65410245435040
7616201635132
oct134307344100
935005336456
1012400314432
115293721850
1224a0a0ba80
13122808627c
14858c65052
154c899738c
hex2e31dc840

12400314432 has 112 divisors (see below), whose sum is σ = 37675718400. Its totient is φ = 3559887360.

The previous prime is 12400314401. The next prime is 12400314497. The reversal of 12400314432 is 23441300421.

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 15 ways as a sum of consecutive naturals, for example, 114382 + ... + 194637.

Almost surely, 212400314432 is an apocalyptic number.

12400314432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12400314432 is an abundant number, since it is smaller than the sum of its proper divisors (25275403968).

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

12400314432 is a wasteful number, since it uses less digits than its factorization.

12400314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309064 (or 309054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12400314432 its reverse (23441300421), we get a palindrome (35841614853).

The spelling of 12400314432 in words is "twelve billion, four hundred million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 309019 618038 927057 1236076 1854114 2472152 3399209 3708228 4944304 5871361 6798418 7416456 9888608 10197627 11742722 13596836 14832912 17614083 19777216 20395254 23485444 27193672 29665824 35228166 40790508 46970888 54387344 59331648 64584971 70456332 81581016 93941776 108774688 129169942 140912664 163162032 187883552 193754913 217549376 258339884 281825328 326324064 375767104 387509826 516679768 563650656 652648128 775019652 1033359536 1127301312 1550039304 2066719072 3100078608 4133438144 6200157216 12400314432