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141117337210014 = 2321159149241336403
BaseRepresentation
bin100000000101100001110000…
…110000011000110010011110
3200111122200111212022211102100
4200011201300300120302132
5121444031301311210024
61220044224301105530
741503251111622314
oct4005416060306236
9614580455284370
10141117337210014
1140a67587a2a780
12139b159a8582a6
136098400307809
1426bc1891720b4
15114abbc0737c9
hex805870c18c9e

141117337210014 has 192 divisors, whose sum is σ = 342897942816000. Its totient is φ = 41582516659200.

The previous prime is 141117337210007. The next prime is 141117337210021. The reversal of 141117337210014 is 410012733711141.

141117337210014 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 173 + 372 + 100 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (141117337210007) and next prime (141117337210021).

It is a super-2 number, since 2×1411173372100142 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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, 419320737 + ... + 419657139.

It is an arithmetic number, because the mean of its divisors is an integer number (1785926785500).

Almost surely, 2141117337210014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141117337210014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171448971408000).

141117337210014 is an abundant number, since it is smaller than the sum of its proper divisors (201780605605986).

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

141117337210014 is a wasteful number, since it uses less digits than its factorization.

141117337210014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336871 (or 336868 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 141117337210014 in words is "one hundred forty-one trillion, one hundred seventeen billion, three hundred thirty-seven million, two hundred ten thousand, fourteen".