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31170255424 = 2671117233671
BaseRepresentation
bin11101000001111001…
…000101101001000000
32222110022100001000121
4131001321011221000
51002314041133144
622152554430024
72152266541150
oct350171055100
988408301017
1031170255424
1112245884280
12605aa32314
132c29973929
141719a34760
15c2673b384
hex741e45a40

31170255424 has 112 divisors (see below), whose sum is σ = 77181797376. Its totient is φ = 12133900800.

The previous prime is 31170255407. The next prime is 31170255433. The reversal of 31170255424 is 42455207113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31170255424.

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, 8489109 + ... + 8492779.

Almost surely, 231170255424 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 31170255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38590898688).

31170255424 is an abundant number, since it is smaller than the sum of its proper divisors (46011541952).

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

31170255424 is a wasteful number, since it uses less digits than its factorization.

31170255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 31170255424 in words is "thirty-one billion, one hundred seventy million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 1723 2464 3446 3671 4928 6892 7342 12061 13784 14684 18953 24122 25697 27568 29368 37906 40381 48244 51394 55136 58736 75812 80762 96488 102788 110272 117472 132671 151624 161524 192976 205576 234944 265342 282667 303248 323048 385952 411152 530684 565334 606496 646096 771904 822304 1061368 1130668 1212992 1292192 1644608 2122736 2261336 2584384 4245472 4522672 6325133 8490944 9045344 12650266 18090688 25300532 44275931 50601064 69576463 88551862 101202128 139152926 177103724 202404256 278305852 354207448 404808512 487035241 556611704 708414896 974070482 1113223408 1416829792 1948140964 2226446816 2833659584 3896281928 4452893632 7792563856 15585127712 31170255424