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31002844240 = 2451741295521
BaseRepresentation
bin11100110111111010…
…011101110001010000
32222000122022200001101
4130313322131301100
51001443212003430
622124214314144
72145164553664
oct346772356120
988018280041
1031002844240
111216a32a825
126012958954
132c01089a64
1417016d68a4
15c16bbcdca
hex737e9dc50

31002844240 has 80 divisors (see below), whose sum is σ = 76354019280. Its totient is φ = 11666718720.

The previous prime is 31002844237. The next prime is 31002844267. The reversal of 31002844240 is 4244820013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 30999940624 = 1704^2 + 176068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×310028442402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31002844199 and 31002844208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5612680 + ... + 5618200.

It is an arithmetic number, because the mean of its divisors is an integer number (954425241).

Almost surely, 231002844240 is an apocalyptic number.

It is an amenable number.

31002844240 is an abundant number, since it is smaller than the sum of its proper divisors (45351175040).

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

31002844240 is a wasteful number, since it uses less digits than its factorization.

31002844240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 31002844240 in words is "thirty-one billion, two million, eight hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 4129 5521 8258 11042 16516 20645 22084 27605 33032 41290 44168 55210 66064 70193 82580 88336 93857 110420 140386 165160 187714 220840 280772 330320 350965 375428 441680 469285 561544 701930 750856 938570 1123088 1403860 1501712 1877140 2807720 3754280 5615440 7508560 22796209 45592418 91184836 113981045 182369672 227962090 364739344 387535553 455924180 775071106 911848360 1550142212 1823696720 1937677765 3100284424 3875355530 6200568848 7750711060 15501422120 31002844240