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1406450631156 = 22317181228116699
BaseRepresentation
bin10100011101110110111…
…111011000000111110100
311222110021221222210212220
4110131312333120013310
5141020402330144111
62554040422042340
7203420105053614
oct24356677300764
94873257883786
101406450631156
114a2521795a1a
121a86b55793b0
13a282116099c
144c1031dca44
15268b960ce06
hex14776fd81f4

1406450631156 has 96 divisors (see below), whose sum is σ = 3495699043200. Its totient is φ = 438582988800.

The previous prime is 1406450631119. The next prime is 1406450631163. The reversal of 1406450631156 is 6511360546041.

It is a super-3 number, since 3×14064506311563 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84215295 + ... + 84231993.

It is an arithmetic number, because the mean of its divisors is an integer number (36413531700).

Almost surely, 21406450631156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406450631156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747849521600).

1406450631156 is an abundant number, since it is smaller than the sum of its proper divisors (2089248412044).

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

1406450631156 is a wasteful number, since it uses less digits than its factorization.

1406450631156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19185 (or 19183 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1406450631156 in words is "one trillion, four hundred six billion, four hundred fifty million, six hundred thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 362 543 724 1086 2172 2281 3077 4562 6154 6843 9124 9231 12308 13686 16699 18462 27372 33398 36924 38777 50097 66796 77554 100194 116331 155108 200388 232662 283883 412861 465324 567766 825722 851649 1135532 1238583 1651444 1703298 2477166 3022519 3406596 4954332 6045038 7018637 9067557 12090076 14037274 18135114 21055911 28074548 36270228 38090419 42111822 51382823 76180838 84223644 102765646 114271257 152361676 154148469 205531292 228542514 308296938 457085028 616593876 647537123 1295074246 1942611369 2590148492 3885222738 6894365839 7770445476 13788731678 20683097517 27577463356 41366195034 82732390068 117204219263 234408438526 351612657789 468816877052 703225315578 1406450631156