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23024242442304 = 2632138128944709
BaseRepresentation
bin1010011110000101111111…
…10010101100000001000000
310000112002121001011110010100
411033002333302230001000
511004212122031123204
6120545105125202400
74564306122443235
oct517027762540100
9100462531143110
1023024242442304
1173775876884a4
1226ba304260400
13cb023b40764c
14598544a5d78c
1529dda7a0aa39
hex14f0bfcac040

23024242442304 has 84 divisors (see below), whose sum is σ = 66042623802220. Its totient is φ = 7669189831680.

The previous prime is 23024242442261. The next prime is 23024242442339. The reversal of 23024242442304 is 40324424242032.

23024242442304 is a `hidden beast` number, since 2 + 30 + 242 + 42 + 4 + 42 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11617735910400 + 11406506531904 = 3408480^2 + 3377352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13676899 + ... + 15267810.

Almost surely, 223024242442304 is an apocalyptic number.

23024242442304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23024242442304 is an abundant number, since it is smaller than the sum of its proper divisors (43018381359916).

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

23024242442304 is a wasteful number, since it uses less digits than its factorization.

23024242442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28946108 (or 28946095 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 23024242442304 its reverse (40324424242032), we get a palindrome (63348666684336).

The spelling of 23024242442304 in words is "twenty-three trillion, twenty-four billion, two hundred forty-two million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 44192 49716 66288 88384 99432 132576 198864 265152 397728 795456 28944709 57889418 86834127 115778836 173668254 231557672 260502381 347336508 463115344 521004762 694673016 926230688 1042009524 1389346032 1852461376 2084019048 2778692064 4168038096 5557384128 8336076192 16672152384 39972643129 79945286258 119917929387 159890572516 239835858774 319781145032 359753788161 479671717548 639562290064 719507576322 959343435096 1279124580128 1439015152644 1918686870192 2558249160256 2878030305288 3837373740384 5756060610576 7674747480768 11512121221152 23024242442304