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151412125152 = 25310137941203
BaseRepresentation
bin1000110100000011011…
…1011010110111100000
3112110211011121220102010
42031000313122313200
54440043001001102
6153320251152520
713640063554131
oct2150067326740
9473734556363
10151412125152
1159239219732
1225417745740
131137ccb4b82
14748513bc88
153e12a6bd6c
hex2340ddade0

151412125152 has 96 divisors (see below), whose sum is σ = 402460894080. Its totient is φ = 49837939200.

The previous prime is 151412125121. The next prime is 151412125157. The reversal of 151412125152 is 251521214151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1514121251522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151412125157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3654183 + ... + 3695385.

It is an arithmetic number, because the mean of its divisors is an integer number (4192300980).

Almost surely, 2151412125152 is an apocalyptic number.

151412125152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151412125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201230447040).

151412125152 is an abundant number, since it is smaller than the sum of its proper divisors (251048768928).

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

151412125152 is a wasteful number, since it uses less digits than its factorization.

151412125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41696 (or 41688 counting only the distinct ones).

The product of its digits is 4000, while the sum is 30.

The spelling of 151412125152 in words is "one hundred fifty-one billion, four hundred twelve million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 379 404 606 758 808 1137 1212 1516 1616 2274 2424 3032 3232 4548 4848 6064 9096 9696 12128 18192 36384 38279 41203 76558 82406 114837 123609 153116 164812 229674 247218 306232 329624 459348 494436 612464 659248 918696 988872 1224928 1318496 1837392 1977744 3674784 3955488 4161503 8323006 12484509 15615937 16646012 24969018 31231874 33292024 46847811 49938036 62463748 66584048 93695622 99876072 124927496 133168096 187391244 199752144 249854992 374782488 399504288 499709984 749564976 1499129952 1577209637 3154419274 4731628911 6308838548 9463257822 12617677096 18926515644 25235354192 37853031288 50470708384 75706062576 151412125152