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151314342432 = 25311143290097
BaseRepresentation
bin1000110011101100001…
…0011010001000100000
3112110120100122000201220
42030323002122020200
54434342432424212
6153302435255040
713634465455251
oct2147302321040
9473510560656
10151314342432
1159199002070
12253aaa4a480
1311365969686
147476166b28
153e091a438c
hex233b09a220

151314342432 has 48 divisors (see below), whose sum is σ = 433309256352. Its totient is φ = 45852830720.

The previous prime is 151314342409. The next prime is 151314342433. The reversal of 151314342432 is 234243413151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 151314342393 and 151314342402.

It is not an unprimeable number, because it can be changed into a prime (151314342433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71643993 + ... + 71646104.

It is an arithmetic number, because the mean of its divisors is an integer number (9027276174).

Almost surely, 2151314342432 is an apocalyptic number.

151314342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151314342432 is an abundant number, since it is smaller than the sum of its proper divisors (281994913920).

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

151314342432 is a wasteful number, since it uses less digits than its factorization.

151314342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143290121 (or 143290113 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 151314342432 its reverse (234243413151), we get a palindrome (385557755583).

The spelling of 151314342432 in words is "one hundred fifty-one billion, three hundred fourteen million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 143290097 286580194 429870291 573160388 859740582 1146320776 1576191067 1719481164 2292641552 3152382134 3438962328 4585283104 4728573201 6304764268 6877924656 9457146402 12609528536 13755849312 18914292804 25219057072 37828585608 50438114144 75657171216 151314342432