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41131653144 = 23310919518059
BaseRepresentation
bin100110010011101000…
…110011100000011000
310221011112110110202220
4212103220303200120
51133214200400034
630521242024040
72654165166051
oct462350634030
9127145413686
1041131653144
111649782287a
127b7aaa8020
133b566667ca
141dc29c9728
15110b021749
hex993a33818

41131653144 has 64 divisors (see below), whose sum is σ = 103838592000. Its totient is φ = 13576118400.

The previous prime is 41131653109. The next prime is 41131653149. The reversal of 41131653144 is 44135613114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131653149) 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, 5099787 + ... + 5107845.

It is an arithmetic number, because the mean of its divisors is an integer number (1622478000).

Almost surely, 241131653144 is an apocalyptic number.

It is an amenable number.

41131653144 is an abundant number, since it is smaller than the sum of its proper divisors (62706938856).

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

41131653144 is a wasteful number, since it uses less digits than its factorization.

41131653144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10124 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 41131653144 in words is "forty-one billion, one hundred thirty-one million, six hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 872 1308 1951 2616 3902 5853 7804 8059 11706 15608 16118 23412 24177 32236 46824 48354 64472 96708 193416 212659 425318 637977 850636 878431 1275954 1701272 1756862 2551908 2635293 3513724 5103816 5270586 7027448 10541172 15723109 21082344 31446218 47169327 62892436 94338654 125784872 188677308 377354616 1713818881 3427637762 5141456643 6855275524 10282913286 13710551048 20565826572 41131653144