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141144227976960 = 283251331201715073
BaseRepresentation
bin100000000101111010110011…
…100100100001011100000000
3200111202020220221001022212200
4200011322303210201130000
5122000001334330230320
61220104432503353200
741505222355436625
oct4005726344413400
9614666827038780
10141144227976960
1140a77a27085a0a
12139b6844452800
13609aac7491130
1426bd5ba69c34c
15114b742c2d290
hex805eb3921700

141144227976960 has 864 divisors, whose sum is σ = 543179273215488. Its totient is φ = 33603547299840.

The previous prime is 141144227976949. The next prime is 141144227977001. The reversal of 141144227976960 is 69679722441141.

It is a happy number.

141144227976960 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 422 + 7 + 97 + 69 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9364035984 + ... + 9364051056.

Almost surely, 2141144227976960 is an apocalyptic number.

141144227976960 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 141144227976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589636607744).

141144227976960 is an abundant number, since it is smaller than the sum of its proper divisors (402035045238528).

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

141144227976960 is a wasteful number, since it uses less digits than its factorization.

141144227976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17161 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 141144227976960 in words is "one hundred forty-one trillion, one hundred forty-four billion, two hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred sixty".