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141699740160 = 2935113161887
BaseRepresentation
bin1000001111110111110…
…1100111001000000000
3111112202022001121220110
42003331331213020000
54310200113141120
6145032421111320
713144310626656
oct2037575471000
9445668047813
10141699740160
115510489a080
1223566b58540
1310492a7a1c4
146c03286dd6
153a450732e0
hex20fdf67200

141699740160 has 640 divisors, whose sum is σ = 519066206208. Its totient is φ = 32661504000.

The previous prime is 141699740153. The next prime is 141699740167. The reversal of 141699740160 is 61047996141.

It is an interprime number because it is at equal distance from previous prime (141699740153) and next prime (141699740167).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1416997401602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (141699740167) 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, 159751237 + ... + 159752123.

Almost surely, 2141699740160 is an apocalyptic number.

141699740160 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 141699740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259533103104).

141699740160 is an abundant number, since it is smaller than the sum of its proper divisors (377366466048).

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

141699740160 is a wasteful number, since it uses less digits than its factorization.

141699740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 141699740160 in words is "one hundred forty-one billion, six hundred ninety-nine million, seven hundred forty thousand, one hundred sixty".