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40132101702276 = 223241136719890103
BaseRepresentation
bin10010001111111111110111…
…01010101000001010000100
312021002120222011120210110100
421013333323222220022010
520230011021013433101
6221204233310124100
711311306615014663
oct1107777352501204
9167076864523410
1040132101702276
1111872a24195231
124601a537b0630
131951596a04bbc
149ca592b54dda
15498ddc331e86
hex247ffbaa8284

40132101702276 has 72 divisors (see below), whose sum is σ = 103995329203584. Its totient is φ = 13041542079360.

The previous prime is 40132101702139. The next prime is 40132101702281. The reversal of 40132101702276 is 67220710123104.

40132101702276 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 210 + 170 + 2 + 276 = 666.

It is a super-2 number, since 2×401321017022762 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40132101702276.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7927360 + ... + 11962743.

It is an arithmetic number, because the mean of its divisors is an integer number (1444379572272).

Almost surely, 240132101702276 is an apocalyptic number.

It is an amenable number.

40132101702276 is an abundant number, since it is smaller than the sum of its proper divisors (63863227501308).

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

40132101702276 is a wasteful number, since it uses less digits than its factorization.

40132101702276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19891521 (or 19891516 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 40132101702276 in words is "forty trillion, one hundred thirty-two billion, one hundred one million, seven hundred two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1367 1476 2734 4101 5468 8202 12303 16404 24606 49212 56047 112094 168141 224188 336282 504423 672564 1008846 2017692 19890103 39780206 59670309 79560412 119340618 179010927 238681236 358021854 716043708 815494223 1630988446 2446482669 3261976892 4892965338 7339448007 9785930676 14678896014 27189770801 29357792028 54379541602 81569312403 108759083204 163138624806 244707937209 326277249612 489415874418 978831748836 1114780602841 2229561205682 3344341808523 4459122411364 6688683617046 10033025425569 13377367234092 20066050851138 40132101702276