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31390445268 = 22337213456283
BaseRepresentation
bin11101001111000001…
…000010111011010100
310000000122122211201000
4131033001002323110
51003241423222033
622230502103300
72160612245100
oct351701027324
9100018584630
1031390445268
11123490a7156
12610071ab30
132c63479890
14173ad90900
15c3ac32a13
hex74f042ed4

31390445268 has 144 divisors (see below), whose sum is σ = 101952096960. Its totient is φ = 8278780608.

The previous prime is 31390445267. The next prime is 31390445293. The reversal of 31390445268 is 86254409313.

31390445268 is a `hidden beast` number, since 3 + 139 + 0 + 4 + 452 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31390445267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159346 + ... + 296937.

Almost surely, 231390445268 is an apocalyptic number.

It is an amenable number.

31390445268 is an abundant number, since it is smaller than the sum of its proper divisors (70561651692).

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

31390445268 is a wasteful number, since it uses less digits than its factorization.

31390445268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456323 (or 456308 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 31390445268 in words is "thirty-one billion, three hundred ninety million, four hundred forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 456283 912566 1368849 1825132 2737698 3193981 4106547 5475396 5931679 6387962 8213094 9581943 11863358 12319641 12775924 16426188 17795037 19163886 22357867 23726716 24639282 28745829 35590074 38327772 41521753 44715734 49278564 53385111 57491658 67073601 71180148 83043506 86237487 89431468 106770222 114983316 124565259 134147202 160155333 166087012 172474974 201220803 213540444 249130518 268294404 290652271 320310666 344949948 373695777 402441606 498261036 581304542 603662409 640621332 747391554 804883212 871956813 1121087331 1162609084 1207324818 1494783108 1743913626 2242174662 2414649636 2615870439 3487827252 4484349324 5231740878 7847611317 10463481756 15695222634 31390445268