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31014265642440 = 23352319757040877
BaseRepresentation
bin1110000110101000100100…
…10010010101110111001000
311001210221020111102220110120
413003110102102111313020
513031114204001024230
6145543431255543240
76350464262165433
oct703242222256710
9131727214386416
1031014265642440
119978092462293
12358a93298ab20
13143c82c075222
1479315429881a
1538bb43b47310
hex1c3512495dc8

31014265642440 has 128 divisors (see below), whose sum is σ = 97580970812160. Its totient is φ = 7870728233984.

The previous prime is 31014265642429. The next prime is 31014265642447. The reversal of 31014265642440 is 4424656241013.

It is a junction number, because it is equal to n+sod(n) for n = 31014265642392 and 31014265642401.

It is not an unprimeable number, because it can be changed into a prime (31014265642447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27976719 + ... + 29064158.

It is an arithmetic number, because the mean of its divisors is an integer number (762351334470).

Almost surely, 231014265642440 is an apocalyptic number.

31014265642440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31014265642440 is an abundant number, since it is smaller than the sum of its proper divisors (66566705169720).

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

31014265642440 is a wasteful number, since it uses less digits than its factorization.

31014265642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57041111 (or 57041107 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 31014265642440 in words is "thirty-one trillion, fourteen billion, two hundred sixty-five million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 197 230 276 345 394 460 552 591 690 788 920 985 1182 1380 1576 1970 2364 2760 2955 3940 4531 4728 5910 7880 9062 11820 13593 18124 22655 23640 27186 36248 45310 54372 67965 90620 108744 135930 181240 271860 543720 57040877 114081754 171122631 228163508 285204385 342245262 456327016 570408770 684490524 855613155 1140817540 1311940171 1368981048 1711226310 2281635080 2623880342 3422452620 3935820513 5247760684 6559700855 6844905240 7871641026 10495521368 11237052769 13119401710 15743282052 19679102565 22474105538 26238803420 31486564104 33711158307 39358205130 44948211076 52477606840 56185263845 67422316614 78716410260 89896422152 112370527690 134844633228 157432820520 168555791535 224741055380 258452213687 269689266456 337111583070 449482110760 516904427374 674223166140 775356641061 1033808854748 1292261068435 1348446332280 1550713282122 2067617709496 2584522136870 3101426564244 3876783205305 5169044273740 6202853128488 7753566410610 10338088547480 15507132821220 31014265642440