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137014426494 = 2321123199151189
BaseRepresentation
bin111111110011010110…
…0100011101101111110
3111002122202211000211200
41333212230203231332
54221101143121434
6142535450400330
712620226260241
oct1774654435576
9432582730750
10137014426494
1153120087620
1222679a300a6
13cbc718c05a
1468bacdd258
15386da7c199
hex1fe6b23b7e

137014426494 has 96 divisors (see below), whose sum is σ = 339633216000. Its totient is φ = 39514495680.

The previous prime is 137014426453. The next prime is 137014426501. The reversal of 137014426494 is 494624410731.

137014426494 is a `hidden beast` number, since 1 + 370 + 14 + 4 + 264 + 9 + 4 = 666.

137014426494 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830652 + ... + 981840.

It is an arithmetic number, because the mean of its divisors is an integer number (3537846000).

Almost surely, 2137014426494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137014426494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169816608000).

137014426494 is an abundant number, since it is smaller than the sum of its proper divisors (202618789506).

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

137014426494 is a wasteful number, since it uses less digits than its factorization.

137014426494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151430 (or 151427 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137014426494 in words is "one hundred thirty-seven billion, fourteen million, four hundred twenty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 199 207 253 398 414 506 597 759 1194 1518 1791 2189 2277 3582 4378 4554 4577 6567 9154 13134 13731 19701 27462 39402 41193 50347 82386 100694 151041 151189 302082 302378 453123 453567 906246 907134 1360701 1663079 2721402 3326158 3477347 4989237 6954694 9978474 10432041 14967711 20864082 29935422 30086611 31296123 38250817 60173222 62592246 76501634 90259833 114752451 180519666 229504902 270779499 330952721 344257353 541558998 661905442 688514706 691992053 992858163 1383984106 1985716326 2075976159 2978574489 4151952318 5957148978 6227928477 7611912583 12455856954 15223825166 22835737749 45671475498 68507213247 137014426494