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41126123904 = 273227471803
BaseRepresentation
bin100110010011010011…
…101101100110000000
310221011011001120002020
4212103103231212000
51133211241431104
630520523321440
72654100166605
oct462323554600
9127134046066
1041126123904
1116494696658
127b79080280
133b5547bb78
141dc1d8a6ac
15110a7cd2d9
hex9934ed980

41126123904 has 64 divisors (see below), whose sum is σ = 109722738240. Its totient is φ = 13648288256.

The previous prime is 41126123893. The next prime is 41126123939. The reversal of 41126123904 is 40932162114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×411261239043 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148734 + ... + 323069.

It is an arithmetic number, because the mean of its divisors is an integer number (1714417785).

Almost surely, 241126123904 is an apocalyptic number.

It is an amenable number.

41126123904 is an abundant number, since it is smaller than the sum of its proper divisors (68596614336).

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

41126123904 is a wasteful number, since it uses less digits than its factorization.

41126123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472047 (or 472035 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 41126123904 in words is "forty-one billion, one hundred twenty-six million, one hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 384 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 29056 43584 87168 471803 943606 1415409 1887212 2830818 3774424 5661636 7548848 11323272 15097696 22646544 30195392 45293088 60390784 90586176 107099281 181172352 214198562 321297843 428397124 642595686 856794248 1285191372 1713588496 2570382744 3427176992 5140765488 6854353984 10281530976 13708707968 20563061952 41126123904