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141520837920 = 253571131123517
BaseRepresentation
bin1000001111001101001…
…1001001110100100000
3111112021211102110011120
42003303103021310200
54304313313303140
6145002550412240
713140006163050
oct2036323116440
9445254373146
10141520837920
1155022907190
1223517061080
131046499bba7
146bc75d7560
153a344d51d0
hex20f34c9d20

141520837920 has 384 divisors, whose sum is σ = 573724311552. Its totient is φ = 28458086400.

The previous prime is 141520837919. The next prime is 141520837921. The reversal of 141520837920 is 29738025141.

It is an interprime number because it is at equal distance from previous prime (141520837919) and next prime (141520837921).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (141520837921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1084002 + ... + 1207518.

It is an arithmetic number, because the mean of its divisors is an integer number (1494073728).

Almost surely, 2141520837920 is an apocalyptic number.

141520837920 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 141520837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286862155776).

141520837920 is an abundant number, since it is smaller than the sum of its proper divisors (432203473632).

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

141520837920 is a wasteful number, since it uses less digits than its factorization.

141520837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123584 (or 123576 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 141520837920 in words is "one hundred forty-one billion, five hundred twenty million, eight hundred thirty-seven thousand, nine hundred twenty".