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31446490240 = 275115975709
BaseRepresentation
bin11101010010010110…
…110101110010000000
310000011120010012221201
4131102112311302000
51003400300141430
622240223230544
72162162520364
oct352226656200
9100146105851
1031446490240
11123777a6610
126117448454
132c71c70599
1417445bd2a4
15c40b038ca
hex7525b5c80

31446490240 has 128 divisors (see below), whose sum is σ = 83402136000. Its totient is φ = 11241123840.

The previous prime is 31446490219. The next prime is 31446490249. The reversal of 31446490240 is 4209464413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 31446490240.

It is not an unprimeable number, because it can be changed into a prime (31446490249) 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, 377506 + ... + 453214.

Almost surely, 231446490240 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 31446490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41701068000).

31446490240 is an abundant number, since it is smaller than the sum of its proper divisors (51955645760).

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

31446490240 is a wasteful number, since it uses less digits than its factorization.

31446490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75798 (or 75786 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 31446490240 in words is "thirty-one billion, four hundred forty-six million, four hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 128 160 176 220 236 295 320 352 440 472 590 640 649 704 880 944 1180 1298 1408 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 7040 7552 9440 10384 12980 18880 20768 25960 37760 41536 51920 75709 83072 103840 151418 207680 302836 378545 415360 605672 757090 832799 1211344 1514180 1665598 2422688 3028360 3331196 4163995 4466831 4845376 6056720 6662392 8327990 8933662 9690752 12113440 13324784 16655980 17867324 22334155 24226880 26649568 33311960 35734648 44668310 48453760 49135141 53299136 66623920 71469296 89336620 98270282 106598272 133247840 142938592 178673240 196540564 245675705 266495680 285877184 357346480 393081128 491351410 532991360 571754368 714692960 786162256 982702820 1429385920 1572324512 1965405640 2858771840 3144649024 3930811280 6289298048 7861622560 15723245120 31446490240