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31431024240 = 24357111700813
BaseRepresentation
bin11101010001011011…
…110101111001110000
310000010111000110120220
4131101123311321300
51003332320233430
622234511533040
72161614204120
oct352133657160
9100114013526
1031431024240
1112369aa27a0
12611222a180
132c6b9b6ac5
141742514c80
15c3e59b110
hex7516f5e70

31431024240 has 160 divisors (see below), whose sum is σ = 121478939136. Its totient is φ = 6531118080.

The previous prime is 31431024239. The next prime is 31431024257. The reversal of 31431024240 is 4242013413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31431024240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831927 + ... + 868886.

Almost surely, 231431024240 is an apocalyptic number.

31431024240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31431024240 is an abundant number, since it is smaller than the sum of its proper divisors (90047914896).

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

31431024240 is a wasteful number, since it uses less digits than its factorization.

31431024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700847 (or 1700841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31431024240 its reverse (4242013413), we get a palindrome (35673037653).

The spelling of 31431024240 in words is "thirty-one billion, four hundred thirty-one million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 1700813 3401626 5102439 6803252 8504065 10204878 11905691 13606504 17008130 18708943 20409756 23811382 25512195 27213008 34016260 35717073 37417886 40819512 47622764 51024390 56126829 59528455 68032520 71434146 74835772 81639024 93544715 95245528 102048780 112253658 119056910 130962601 136065040 142868292 149671544 178585365 187089430 190491056 204097560 224507316 238113820 261925202 280634145 285736584 299343088 357170730 374178860 392887803 408195120 449014632 476227640 523850404 561268290 571473168 654813005 714341460 748357720 785775606 898029264 952455280 1047700808 1122536580 1309626010 1428682920 1496715440 1571551212 1964439015 2095401616 2245073160 2619252020 2857365840 3143102424 3928878030 4490146320 5238504040 6286204848 7857756060 10477008080 15715512120 31431024240