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31444214089024 = 2611432274575871
BaseRepresentation
bin1110010011001001011010…
…01101100000010101000000
311010100001000100021222211201
413021210231031200111000
513110140222301322044
6150513134511150544
76423524636531002
oct711445515402500
9133301010258751
1031444214089024
11a023464116890
12363a123815454
13147123b198179
147a9c9dac6372
15397e098847d4
hex1c992d360540

31444214089024 has 112 divisors (see below), whose sum is σ = 69959445405696. Its totient is φ = 13898930572800.

The previous prime is 31444214089019. The next prime is 31444214089027. The reversal of 31444214089024 is 42098041244413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444214089027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4583809 + ... + 9159679.

It is an arithmetic number, because the mean of its divisors is an integer number (624637905408).

Almost surely, 231444214089024 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 31444214089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34979722702848).

31444214089024 is an abundant number, since it is smaller than the sum of its proper divisors (38515231316672).

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

31444214089024 is a wasteful number, since it uses less digits than its factorization.

31444214089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576164 (or 4576154 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 31444214089024 in words is "thirty-one trillion, four hundred forty-four billion, two hundred fourteen million, eighty-nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 227 344 352 454 473 688 704 908 946 1376 1816 1892 2497 2752 3632 3784 4994 7264 7568 9761 9988 14528 15136 19522 19976 30272 39044 39952 78088 79904 107371 156176 159808 214742 312352 429484 624704 858968 1717936 3435872 4575871 6871744 9151742 18303484 36606968 50334581 73213936 100669162 146427872 196762453 201338324 292855744 393524906 402676648 787049812 805353296 1038722717 1574099624 1610706592 2077445434 2164386983 3148199248 3221413184 4154890868 4328773966 6296398496 8309781736 8657547932 11425949887 12592796992 16619563472 17315095864 22851899774 33239126944 34630191728 44665076831 45703799548 66478253888 69260383456 89330153662 91407599096 138520766912 178660307324 182815198192 357320614648 365630396384 491315845141 714641229296 731260792768 982631690282 1429282458592 1965263380564 2858564917184 3930526761128 7861053522256 15722107044512 31444214089024