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141432880383648 = 2537736196589
BaseRepresentation
bin100000001010000111101000…
…100110000100011010100000
3200112202211222121110220000000
4200022013220212010122200
5122014214014334234043
61220445211314300000
741535121423425000
oct4012075046043240
9615684877426000
10141432880383648
1141079390913417
1213a42781587600
1360bc0a9372789
1426cd5606cc000
151153ed908c2d3
hex80a1e89846a0

141432880383648 has 768 divisors, whose sum is σ = 494992068480000. Its totient is φ = 39746533800960.

The previous prime is 141432880383637. The next prime is 141432880383677. The reversal of 141432880383648 is 846383088234141.

141432880383648 is a `hidden beast` number, since 1 + 4 + 1 + 432 + 8 + 80 + 3 + 83 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1464226938 + ... + 1464323526.

It is an arithmetic number, because the mean of its divisors is an integer number (644520922500).

Almost surely, 2141432880383648 is an apocalyptic number.

141432880383648 is a gapful number since it is divisible by the number (18) 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 141432880383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247496034240000).

141432880383648 is an abundant number, since it is smaller than the sum of its proper divisors (353559188096352).

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

141432880383648 is an frugal number, since it uses more digits than its factorization.

141432880383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96702 (or 96662 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 141432880383648 in words is "one hundred forty-one trillion, four hundred thirty-two billion, eight hundred eighty million, three hundred eighty-three thousand, six hundred forty-eight".