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41310996701472 = 2532199378057123
BaseRepresentation
bin10010110010010011101110…
…10010001010000100100000
312102021021220101111210001100
421121021313102022010200
520403314410123421342
6223510002045234400
711462423003122311
oct1131116722120440
9172237811453040
1041310996701472
11121879937318a3
124772421262a00
131a087c1a03044
14a2b66a316608
154b98d927de4c
hex25927748a120

41310996701472 has 144 divisors (see below), whose sum is σ = 123793198270560. Its totient is φ = 13031653579776.

The previous prime is 41310996701461. The next prime is 41310996701477. The reversal of 41310996701472 is 27410769901314.

41310996701472 is a `hidden beast` number, since 4 + 1 + 3 + 10 + 9 + 96 + 70 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (41310996701477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098703 + ... + 9155825.

It is an arithmetic number, because the mean of its divisors is an integer number (859674987990).

Almost surely, 241310996701472 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 41310996701472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61896599135280).

41310996701472 is an abundant number, since it is smaller than the sum of its proper divisors (82482201569088).

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

41310996701472 is a wasteful number, since it uses less digits than its factorization.

41310996701472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058095 (or 8058084 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 41310996701472 in words is "forty-one trillion, three hundred ten billion, nine hundred ninety-six million, seven hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 937 1368 1824 1874 2736 2811 3748 5472 5622 7496 8433 11244 14992 16866 17803 22488 29984 33732 35606 44976 53409 67464 71212 89952 106818 134928 142424 160227 213636 269856 284848 320454 427272 569696 640908 854544 1281816 1709088 2563632 5127264 8057123 16114246 24171369 32228492 48342738 64456984 72514107 96685476 128913968 145028214 153085337 193370952 257827936 290056428 306170674 386741904 459256011 580112856 612341348 773483808 918512022 1160225712 1224682696 1377768033 1837024044 2320451424 2449365392 2755536066 3674048088 4898730784 5511072132 7348096176 7549524251 11022144264 14696192352 15099048502 22044288528 22648572753 30198097004 44088577056 45297145506 60396194008 67945718259 90594291012 120792388016 135891436518 143440960769 181188582024 241584776032 271782873036 286881921538 362377164048 430322882307 543565746072 573763843076 724754328096 860645764614 1087131492144 1147527686152 1290968646921 1721291529228 2174262984288 2295055372304 2581937293842 3442583058456 4590110744608 5163874587684 6885166116912 10327749175368 13770332233824 20655498350736 41310996701472