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31324014400 = 265272399541
BaseRepresentation
bin11101001011000011…
…101000011101000000
32222212000122210200111
4131023003220131000
51003122421430100
622220130201104
72156144505100
oct351303503500
988760583614
1031324014400
1112314653708
1260a2423194
132c5278a783
14173221b200
15c34eae6ba
hex74b0e8740

31324014400 has 126 divisors (see below), whose sum is σ = 89660820678. Its totient is φ = 10739635200.

The previous prime is 31324014389. The next prime is 31324014437. The reversal of 31324014400 is 441042313.

It can be written as a sum of positive squares in 3 ways, for example, as 4986619456 + 26337394944 = 70616^2 + 162288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121371 + ... + 278170.

Almost surely, 231324014400 is an apocalyptic number.

It is an amenable number.

31324014400 is an abundant number, since it is smaller than the sum of its proper divisors (58336806278).

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

31324014400 is a wasteful number, since it uses less digits than its factorization.

31324014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399577 (or 399555 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31324014400 its reverse (441042313), we get a palindrome (31765056713).

The spelling of 31324014400 in words is "thirty-one billion, three hundred twenty-four million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3920 4900 5600 7840 9800 11200 15680 19600 39200 78400 399541 799082 1598164 1997705 2796787 3196328 3995410 5593574 6392656 7990820 9988525 11187148 12785312 13983935 15981640 19577509 19977050 22374296 25570624 27967870 31963280 39155018 39954100 44748592 55935740 63926560 69919675 78310036 79908200 89497184 97887545 111871480 127853120 139839350 156620072 159816400 178994368 195775090 223742960 279678700 313240144 319632800 391550180 447485920 489437725 559357400 626480288 639265600 783100360 894971840 978875450 1118714800 1252960576 1566200720 1957750900 2237429600 3132401440 3915501800 4474859200 6264802880 7831003600 15662007200 31324014400