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41561021443296 = 2538310934772179
BaseRepresentation
bin10010111001100101011011…
…11010110110110011100000
312110011012021001011122120110
421130302231322312303200
520421413432442141141
6224220511503211320
711516453566300545
oct1134625572666340
9173135231148513
1041561021443296
1112273a26124a33
1247b2979ba6b40
131a26258c45764
14a397c8128bcc
154c116e333e16
hex25ccadeb6ce0

41561021443296 has 96 divisors (see below), whose sum is σ = 110513151826560. Its totient is φ = 13674237018624.

The previous prime is 41561021443261. The next prime is 41561021443297. The reversal of 41561021443296 is 69234412016514.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41561021443297) 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, 6322935 + ... + 11095113.

It is an arithmetic number, because the mean of its divisors is an integer number (1151178664860).

Almost surely, 241561021443296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41561021443296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256575913280).

41561021443296 is an abundant number, since it is smaller than the sum of its proper divisors (68952130383264).

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

41561021443296 is a wasteful number, since it uses less digits than its factorization.

41561021443296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773368 (or 4773360 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 41561021443296 in words is "forty-one trillion, five hundred sixty-one billion, twenty-one million, four hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1093 1328 1992 2186 2656 3279 3984 4372 6558 7968 8744 13116 17488 26232 34976 52464 90719 104928 181438 272157 362876 544314 725752 1088628 1451504 2177256 2903008 4354512 4772179 8709024 9544358 14316537 19088716 28633074 38177432 57266148 76354864 114532296 152709728 229064592 396090857 458129184 792181714 1188272571 1584363428 2376545142 3168726856 4753090284 5215991647 6337453712 9506180568 10431983294 12674907424 15647974941 19012361136 20863966588 31295949882 38024722272 41727933176 62591899764 83455866352 125183799528 166911732704 250367599056 432927306701 500735198112 865854613402 1298781920103 1731709226804 2597563840206 3463418453608 5195127680412 6926836907216 10390255360824 13853673814432 20780510721648 41561021443296