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41655613341456 = 24341792812
BaseRepresentation
bin10010111100010101101000…
…00010010011111100010000
312110111020102022111221210000
421132022310002103330100
520424441144003411311
6224332154040010000
711526342634204362
oct1136126402237420
9173436368457700
1041655613341456
1112300056854084
124809178760900
131a321521a942a
14a401dcc14d32
154c38588a3056
hex25e2b4093f10

41655613341456 has 75 divisors (see below), whose sum is σ = 120564102767493. Its totient is φ = 13885126997760.

The previous prime is 41655613341449. The next prime is 41655613341481. The reversal of 41655613341456 is 65414331655614.

The square root of 41655613341456 is 6454116.

It is a perfect power (a square), and thus also a powerful number.

41655613341456 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 5 + 613 + 3 + 4 + 14 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35355914935056 + 6299698406400 = 5946084^2 + 2509920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 232258536 + ... + 232437816.

Almost surely, 241655613341456 is an apocalyptic number.

41655613341456 is the 6454116-th square number.

It is an amenable number.

41655613341456 is an abundant number, since it is smaller than the sum of its proper divisors (78908489426037).

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

41655613341456 is an frugal number, since it uses more digits than its factorization.

41655613341456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358582 (or 179286 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 41655613341456 in words is "forty-one trillion, six hundred fifty-five billion, six hundred thirteen million, three hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 179281 358562 537843 717124 1075686 1434248 1613529 2151372 2868496 3227058 4302744 4840587 6454116 8605488 9681174 12908232 14521761 19362348 25816464 29043522 38724696 58087044 77449392 116174088 232348176 32141676961 64283353922 96425030883 128566707844 192850061766 257133415688 289275092649 385700123532 514266831376 578550185298 771400247064 867825277947 1157100370596 1542800494128 1735650555894 2314200741192 2603475833841 3471301111788 4628401482384 5206951667682 6942602223576 10413903335364 13885204447152 20827806670728 41655613341456