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31914370141696 = 297171792926283
BaseRepresentation
bin1110100000110101001001…
…01100100000111000000000
311011222222120022212002201201
413100122210230200320000
513140341112224013241
6151513131555110544
76502510562200510
oct720324454407000
9134888508762651
1031914370141696
11a194898a369a9
1236b5275ba2454
1314a668738b9c3
147c49414c3840
153a5275416931
hex1d06a4b20e00

31914370141696 has 160 divisors (see below), whose sum is σ = 77593814749440. Its totient is φ = 12801102544896.

The previous prime is 31914370141691. The next prime is 31914370141699. The reversal of 31914370141696 is 69614107341913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31914370141691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9442971 + ... + 12369253.

It is an arithmetic number, because the mean of its divisors is an integer number (484961342184).

Almost surely, 231914370141696 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 31914370141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38796907374720).

31914370141696 is an abundant number, since it is smaller than the sum of its proper divisors (45679444607744).

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

31914370141696 is a wasteful number, since it uses less digits than its factorization.

31914370141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926504 (or 2926488 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 31914370141696 in words is "thirty-one trillion, nine hundred fourteen billion, three hundred seventy million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 179 224 238 256 272 358 448 476 512 544 716 896 952 1088 1253 1432 1792 1904 2176 2506 2864 3043 3584 3808 4352 5012 5728 6086 7616 8704 10024 11456 12172 15232 20048 21301 22912 24344 30464 40096 42602 45824 48688 60928 80192 85204 91648 97376 160384 170408 194752 320768 340816 389504 641536 681632 779008 1363264 1558016 2726528 2926283 5453056 5852566 10906112 11705132 20483981 23410264 40967962 46820528 49746811 81935924 93641056 99493622 163871848 187282112 198987244 327743696 348227677 374564224 397974488 523804657 655487392 696455354 749128448 795948976 1047609314 1310974784 1392910708 1498256896 1591897952 2095218628 2621949568 2785821416 3183795904 3666632599 4190437256 5243899136 5571642832 6367591808 7333265198 8380874512 8904679169 10487798272 11143285664 12735183616 14666530396 16761749024 17809358338 22286571328 25470367232 29333060792 33523498048 35618716676 44573142656 58666121584 62332754183 67046996096 71237433352 89146285312 117332243168 124665508366 134093992192 142474866704 178292570624 234664486336 249331016732 268187984384 284949733408 469328972672 498662033464 569899466816 938657945344 997324066928 1139798933632 1877315890688 1994648133856 2279597867264 3989296267712 4559195734528 7978592535424 15957185070848 31914370141696