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40139695344 = 24372156710891
BaseRepresentation
bin100101011000100000…
…110010010011110000
310211121101220210111010
4211120200302103300
51124201230222334
630235004550520
72620461531600
oct453040622360
9124541823433
1040139695344
11160288a2241
127942852440
133a28cb4028
141d2ad72c00
15109ddcd0e9
hex9588324f0

40139695344 has 120 divisors (see below), whose sum is σ = 120711940608. Its totient is φ = 11460113280.

The previous prime is 40139695339. The next prime is 40139695399. The reversal of 40139695344 is 44359693104.

It is a super-2 number, since 2×401396953442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40139695293 and 40139695302.

It is a congruent number.

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, 3680139 + ... + 3691029.

Almost surely, 240139695344 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 40139695344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60355970304).

40139695344 is an abundant number, since it is smaller than the sum of its proper divisors (80572245264).

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

40139695344 is a wasteful number, since it uses less digits than its factorization.

40139695344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 40139695344 in words is "forty billion, one hundred thirty-nine million, six hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1567 2352 3134 4701 6268 9402 10891 10969 12536 18804 21782 21938 25072 32673 32907 37608 43564 43876 65346 65814 75216 76237 76783 87128 87752 130692 131628 152474 153566 174256 175504 228711 230349 261384 263256 304948 307132 457422 460698 522768 526512 533659 609896 614264 914844 921396 1067318 1219792 1228528 1600977 1829688 1842792 2134636 3201954 3659376 3685584 4269272 6403908 8538544 12807816 17066197 25615632 34132394 51198591 68264788 102397182 119463379 136529576 204794364 238926758 273059152 358390137 409588728 477853516 716780274 819177456 836243653 955707032 1433560548 1672487306 1911414064 2508730959 2867121096 3344974612 5017461918 5734242192 6689949224 10034923836 13379898448 20069847672 40139695344