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145601256112320 = 26351096132269901
BaseRepresentation
bin100001000110110001101111…
…001001100100000011000000
3201002112100021212210211200010
4201012301233021210003000
5123041012333031043240
61233400143232424520
742445225600500261
oct4106615711440300
9632470255724603
10145601256112320
1142436167293058
12143b65ba0a8140
1363321a7741b98
1427d51d1a92968
1511c7651e9c280
hex846c6f2640c0

145601256112320 has 224 divisors, whose sum is σ = 467286383931840. Its totient is φ = 38408015462400.

The previous prime is 145601256112241. The next prime is 145601256112369. The reversal of 145601256112320 is 23211652106541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63009370 + ... + 65279270.

Almost surely, 2145601256112320 is an apocalyptic number.

145601256112320 is a gapful number since it is divisible by the number (10) 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 145601256112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233643191965920).

145601256112320 is an abundant number, since it is smaller than the sum of its proper divisors (321685127819520).

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

145601256112320 is a wasteful number, since it uses less digits than its factorization.

145601256112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270643 (or 2270633 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 145601256112320 in words is "one hundred forty-five trillion, six hundred one billion, two hundred fifty-six million, one hundred twelve thousand, three hundred twenty".