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31452522240 = 28358190761
BaseRepresentation
bin11101010010101101…
…110110011100000000
310000011222110200022010
4131102231312130000
51003403321202430
622241000412520
72162265012366
oct352255663400
9100158420263
1031452522240
1112380146537
126119477140
132c732a3009
14174530d636
15c413e5cb0
hex752b76700

31452522240 has 72 divisors (see below), whose sum is σ = 100451505168. Its totient is φ = 8387338240.

The previous prime is 31452522229. The next prime is 31452522293. The reversal of 31452522240 is 4222525413.

It is a super-2 number, since 2×314525222402 (a number of 22 digits) contains 22 as substring.

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 = 31452522198 and 31452522207.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4091541 + ... + 4099220.

It is an arithmetic number, because the mean of its divisors is an integer number (1395159794).

Almost surely, 231452522240 is an apocalyptic number.

31452522240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31452522240 is an abundant number, since it is smaller than the sum of its proper divisors (68998982928).

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

31452522240 is an equidigital number, since it uses as much as digits as its factorization.

31452522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190785 (or 8190771 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 31452522240 in words is "thirty-one billion, four hundred fifty-two million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 8190761 16381522 24572283 32763044 40953805 49144566 65526088 81907610 98289132 122861415 131052176 163815220 196578264 245722830 262104352 327630440 393156528 491445660 524208704 655260880 786313056 982891320 1048417408 1310521760 1572626112 1965782640 2096834816 2621043520 3145252224 3931565280 5242087040 6290504448 7863130560 10484174080 15726261120 31452522240