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41002420014 = 23219351134147
BaseRepresentation
bin100110001011111011…
…110100011100101110
310220211112021202020200
4212023323310130232
51132433104420024
630500344054330
72651035551063
oct461373643456
9126745252220
1041002420014
1116430885036
127b437643a6
133b359590ba
141dad788c6a
1510ee9e52c9
hex98bef472e

41002420014 has 48 divisors (see below), whose sum is σ = 93543665280. Its totient is φ = 12944065680.

The previous prime is 41002419973. The next prime is 41002420031.

41002420014 is a `hidden beast` number, since 410 + 0 + 242 + 0 + 0 + 14 = 666.

41002420014 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183689 + ... + 1217835.

It is an arithmetic number, because the mean of its divisors is an integer number (1948826360).

Almost surely, 241002420014 is an apocalyptic number.

41002420014 is an abundant number, since it is smaller than the sum of its proper divisors (52541245266).

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

41002420014 is a wasteful number, since it uses less digits than its factorization.

41002420014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37685 (or 37682 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 41002420014 in words is "forty-one billion, two million, four hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 3511 7022 10533 21066 31599 34147 63198 66709 68294 102441 133418 200127 204882 307323 400254 600381 614646 648793 1200762 1297586 1946379 3892758 5839137 11678274 119890117 239780234 359670351 719340702 1079011053 2158022106 2277912223 4555824446 6833736669 13667473338 20501210007 41002420014