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41406931034496 = 2732200317944841
BaseRepresentation
bin10010110101000110011010…
…11010100110000110000000
312102121110112012212211200200
421122203031122212012000
520411402343321100441
6224022025335045200
711502360231365316
oct1132431532460600
9172543465784620
1041406931034496
1112214643102145
124788b35510800
131a1487010b881
14a3216b40c0b6
154bc1515c17b6
hex25a8cd6a6180

41406931034496 has 96 divisors (see below), whose sum is σ = 119212251064920. Its totient is φ = 13795418757120.

The previous prime is 41406931034473. The next prime is 41406931034519. The reversal of 41406931034496 is 69443013960414.

41406931034496 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 6 + 93 + 103 + 449 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41406931034473) and next prime (41406931034519).

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 6664965 + ... + 11279876.

Almost surely, 241406931034496 is an apocalyptic number.

It is an amenable number.

41406931034496 is an abundant number, since it is smaller than the sum of its proper divisors (77805320030424).

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

41406931034496 is a wasteful number, since it uses less digits than its factorization.

41406931034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946864 (or 17946849 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 41406931034496 in words is "forty-one trillion, four hundred six billion, nine hundred thirty-one million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2003 4006 6009 8012 12018 16024 18027 24036 32048 36054 48072 64096 72108 96144 128192 144216 192288 256384 288432 384576 576864 769152 1153728 2307456 17944841 35889682 53834523 71779364 107669046 143558728 161503569 215338092 287117456 323007138 430676184 574234912 646014276 861352368 1148469824 1292028552 1722704736 2296939648 2584057104 3445409472 5168114208 6890818944 10336228416 20672456832 35943516523 71887033046 107830549569 143774066092 215661099138 287548132184 323491648707 431322198276 575096264368 646983297414 862644396552 1150192528736 1293966594828 1725288793104 2300385057472 2587933189656 3450577586208 4600770114944 5175866379312 6901155172416 10351732758624 13802310344832 20703465517248 41406931034496