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31412150224 = 2471321799901
BaseRepresentation
bin11101010000010011…
…110101111111010000
310000002011111120022021
4131100103311333100
51003313002301344
622232555221224
72161264604620
oct352023657720
9100064446267
1031412150224
111235a381434
126107a47814
132c67b09050
14173dc00880
15c3cabdb84
hex7504f5fd0

31412150224 has 80 divisors (see below), whose sum is σ = 74947841920. Its totient is φ = 12419827200.

The previous prime is 31412150207. The next prime is 31412150261. The reversal of 31412150224 is 42205121413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167674 + ... + 3177574.

It is an arithmetic number, because the mean of its divisors is an integer number (936848024).

Almost surely, 231412150224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31412150224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37473920960).

31412150224 is an abundant number, since it is smaller than the sum of its proper divisors (43535691696).

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

31412150224 is a wasteful number, since it uses less digits than its factorization.

31412150224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 31412150224 its reverse (42205121413), we get a palindrome (73617271637).

The spelling of 31412150224 in words is "thirty-one billion, four hundred twelve million, one hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2179 4358 8716 9901 15253 17432 19802 28327 30506 34864 39604 56654 61012 69307 79208 113308 122024 128713 138614 158416 198289 226616 244048 257426 277228 396578 453232 514852 554456 793156 900991 1029704 1108912 1586312 1801982 2059408 3172624 3603964 7207928 14415856 21574279 43148558 86297116 151019953 172594232 280465627 302039906 345188464 560931254 604079812 1121862508 1208159624 1963259389 2243725016 2416319248 3926518778 4487450032 7853037556 15706075112 31412150224