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31452335040 = 263574680407
BaseRepresentation
bin11101010010101101…
…001000101111000000
310000011222010011111210
4131102231020233000
51003403244210130
622240552410120
72162263302540
oct352255105700
9100158104453
1031452335040
1112380028925
1261193a6940
132c73238a49
1417452a1320
15c413aa5b0
hex752b48bc0

31452335040 has 112 divisors (see below), whose sum is σ = 114127068672. Its totient is φ = 7189103616.

The previous prime is 31452335039. The next prime is 31452335059. The reversal of 31452335040 is 4053325413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31452334989 and 31452335007.

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, 2333484 + ... + 2346923.

Almost surely, 231452335040 is an apocalyptic number.

31452335040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31452335040 is an abundant number, since it is smaller than the sum of its proper divisors (82674733632).

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

31452335040 is a wasteful number, since it uses less digits than its factorization.

31452335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680434 (or 4680424 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 31452335040 in words is "thirty-one billion, four hundred fifty-two million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 4680407 9360814 14041221 18721628 23402035 28082442 32762849 37443256 46804070 56164884 65525698 70206105 74886512 93608140 98288547 112329768 131051396 140412210 149773024 163814245 187216280 196577094 224659536 262102792 280824420 299546048 327628490 374432560 393154188 449319072 491442735 524205584 561648840 655256980 748865120 786308376 898638144 982885470 1048411168 1123297680 1310513960 1497730240 1572616752 1965770940 2096822336 2246595360 2621027920 3145233504 3931541880 4493190720 5242055840 6290467008 7863083760 10484111680 15726167520 31452335040