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232141142440 = 235173371013009
BaseRepresentation
bin1101100000110010110…
…0001011100110101000
3211012012022111220010101
43120030230023212220
512300411113024230
6254351050155144
722525450103434
oct3301454134650
9735168456111
10232141142440
118a4a5694239
1238ba7722ab4
1318b7717895c
14b342a459c4
15608a040aca
hex360cb0b9a8

232141142440 has 64 divisors (see below), whose sum is σ = 554683755600. Its totient is φ = 87134896128.

The previous prime is 232141142399. The next prime is 232141142479. The reversal of 232141142440 is 44241141232.

It can be written as a sum of positive squares in 8 ways, for example, as 30822015844 + 201319126596 = 175562^2 + 448686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232141142399 and 232141142408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277345 + ... + 735664.

Almost surely, 2232141142440 is an apocalyptic number.

232141142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232141142440 is an abundant number, since it is smaller than the sum of its proper divisors (322542613160).

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

232141142440 is a wasteful number, since it uses less digits than its factorization.

232141142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013374 (or 1013370 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 232141142440 its reverse (44241141232), we get a palindrome (276382283672).

The spelling of 232141142440 in words is "two hundred thirty-two billion, one hundred forty-one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 337 340 674 680 1348 1685 2696 3370 5729 6740 11458 13480 22916 28645 45832 57290 114580 229160 1013009 2026018 4052036 5065045 8104072 10130090 17221153 20260180 34442306 40520360 68884612 86105765 137769224 172211530 341384033 344423060 682768066 688846120 1365536132 1706920165 2731072264 3413840330 5803528561 6827680660 11607057122 13655361320 23214114244 29017642805 46428228488 58035285610 116070571220 232141142440