Search a number
-
+
41305630752 = 2533431111801
BaseRepresentation
bin100110011110000000…
…011110100000100000
310221121122211110012000
4212132000132200200
51134043220141002
630550415004000
72661410032311
oct463600364040
9127548743160
1041305630752
1116576a51821
128009209600
133b8370c439
141ddbb56608
15111b43a61c
hex99e01e820

41305630752 has 96 divisors (see below), whose sum is σ = 123276605760. Its totient is φ = 13448332800.

The previous prime is 41305630733. The next prime is 41305630753. The reversal of 41305630752 is 25703650314.

41305630752 is a `hidden beast` number, since 4 + 13 + 0 + 5 + 630 + 7 + 5 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41305630753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518749 + ... + 593052.

It is an arithmetic number, because the mean of its divisors is an integer number (1284131310).

Almost surely, 241305630752 is an apocalyptic number.

It is an amenable number.

41305630752 is an abundant number, since it is smaller than the sum of its proper divisors (81970975008).

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

41305630752 is a wasteful number, since it uses less digits than its factorization.

41305630752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111863 (or 1111849 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 41305630752 in words is "forty-one billion, three hundred five million, six hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 1111801 2223602 3335403 4447204 6670806 8894408 10006209 13341612 17788816 20012418 26683224 30018627 35577632 40024836 47807443 53366448 60037254 80049672 95614886 106732896 120074508 143422329 160099344 191229772 240149016 286844658 320198688 382459544 430266987 480298032 573689316 764919088 860533974 960596064 1147378632 1290800961 1529838176 1721067948 2294757264 2581601922 3442135896 4589514528 5163203844 6884271792 10326407688 13768543584 20652815376 41305630752