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31144222400 = 2652191024481
BaseRepresentation
bin11101000000010101…
…110001111011000000
32222101111100102102112
4131000111301323000
51002240410104100
622150224434452
72151532344134
oct350025617300
988344312375
1031144222400
1112232113285
126052178a28
132c2445a485
1417163b93c4
15c242e7b35
hex740571ec0

31144222400 has 84 divisors (see below), whose sum is σ = 80667712680. Its totient is φ = 11802009600.

The previous prime is 31144222367. The next prime is 31144222409. The reversal of 31144222400 is 422244113.

It is not an unprimeable number, because it can be changed into a prime (31144222409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481841 + ... + 542640.

Almost surely, 231144222400 is an apocalyptic number.

It is an amenable number.

31144222400 is an abundant number, since it is smaller than the sum of its proper divisors (49523490280).

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

31144222400 is a wasteful number, since it uses less digits than its factorization.

31144222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024522 (or 1024507 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 31144222400 its reverse (422244113), we get a palindrome (31566466513).

The spelling of 31144222400 in words is "thirty-one billion, one hundred forty-four million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 1024481 2048962 4097924 5122405 8195848 10244810 16391696 19465139 20489620 25612025 32783392 38930278 40979240 51224050 65566784 77860556 81958480 97325695 102448100 155721112 163916960 194651390 204896200 311442224 327833920 389302780 409792400 486628475 622884448 778605560 819584800 973256950 1245768896 1557211120 1639169600 1946513900 3114422240 3893027800 6228844480 7786055600 15572111200 31144222400