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141417942930 = 23451122775209
BaseRepresentation
bin1000001110110100101…
…0101000111110010010
3111112000122210211210000
42003231022220332102
54304110443133210
6144544433150430
713134316452465
oct2035512507622
9445018724700
10141417942930
1154a7a818700
12234a86bb416
1310449583794
146bb7a912dc
153a2a45cac0
hex20ed2a8f92

141417942930 has 240 divisors, whose sum is σ = 419558028120. Its totient is φ = 34152814080.

The previous prime is 141417942877. The next prime is 141417942971. The reversal of 141417942930 is 39249714141.

141417942930 is a `hidden beast` number, since 14 + 14 + 179 + 429 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127515410649 + 13902532281 = 357093^2 + 117909^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27146166 + ... + 27151374.

Almost surely, 2141417942930 is an apocalyptic number.

141417942930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141417942930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209779014060).

141417942930 is an abundant number, since it is smaller than the sum of its proper divisors (278140085190).

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

141417942930 is a wasteful number, since it uses less digits than its factorization.

141417942930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 141417942930 in words is "one hundred forty-one billion, four hundred seventeen million, nine hundred forty-two thousand, nine hundred thirty".