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39934232937144 = 23327213870709771
BaseRepresentation
bin10010001010001111010011…
…10001001100001010111000
312020101200020100121001120200
421011013221301030022320
520213240302112442034
6220533311111522200
711261103343165500
oct1105075161141270
9166350210531520
1039934232937144
11117a7016456367
12458b631989360
131938a220bb960
149c0b81b30a00
15493bab044a99
hex2451e9c4c2b8

39934232937144 has 144 divisors (see below), whose sum is σ = 135491147620920. Its totient is φ = 10532105377920.

The previous prime is 39934232937091. The next prime is 39934232937161. The reversal of 39934232937144 is 44173923243993.

39934232937144 is a `hidden beast` number, since 3 + 99 + 342 + 32 + 9 + 37 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435309022 + ... + 435400749.

Almost surely, 239934232937144 is an apocalyptic number.

It is an amenable number.

39934232937144 is an abundant number, since it is smaller than the sum of its proper divisors (95556914683776).

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

39934232937144 is a wasteful number, since it uses less digits than its factorization.

39934232937144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870709810 (or 870709796 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 39934232937144 in words is "thirty-nine trillion, nine hundred thirty-four billion, two hundred thirty-two million, nine hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 870709771 1741419542 2612129313 3482839084 5224258626 6094968397 6965678168 7836387939 10448517252 11319227023 12189936794 15672775878 18284905191 20897034504 22638454046 24379873588 31345551756 33957681069 36569810382 42664778779 45276908092 48759747176 54854715573 62691103512 67915362138 73139620764 79234589161 85329557558 90553816184 101873043207 109709431146 127994336337 135830724276 146279241528 158469178322 170659115116 203746086414 219418862292 237703767483 255988672674 271661448552 316938356644 341318230232 383983009011 407492172828 438837724584 475407534966 511977345348 554642124127 633876713288 713111302449 767966018022 814984345656 950815069932 1023954690696 1109284248254 1426222604898 1535932036044 1663926372381 1901630139864 2218568496508 2852445209796 3071864072088 3327852744762 4437136993016 4991779117143 5704890419592 6655705489524 9983558234286 13311410979048 19967116468572 39934232937144