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41253307104 = 2532337949297
BaseRepresentation
bin100110011010111000…
…111000001011100000
310221111000101010122010
4212122320320023200
51133441321311404
630541305312520
72660203216242
oct463270701340
9127430333563
1041253307104
111654a464239
127bb3795740
133b7591c4b9
141dd4c16092
151116a52189
hex99ae382e0

41253307104 has 96 divisors (see below), whose sum is σ = 113298635520. Its totient is φ = 13118257152.

The previous prime is 41253307079. The next prime is 41253307141. The reversal of 41253307104 is 40170335214.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812184 + ... + 861480.

It is an arithmetic number, because the mean of its divisors is an integer number (1180194120).

Almost surely, 241253307104 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 41253307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56649317760).

41253307104 is an abundant number, since it is smaller than the sum of its proper divisors (72045328416).

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

41253307104 is a wasteful number, since it uses less digits than its factorization.

41253307104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49712 (or 49704 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 41253307104 in words is "forty-one billion, two hundred fifty-three million, three hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 379 552 736 758 1104 1137 1516 2208 2274 3032 4548 6064 8717 9096 12128 17434 18192 26151 34868 36384 49297 52302 69736 98594 104604 139472 147891 197188 209208 278944 295782 394376 418416 591564 788752 836832 1133831 1183128 1577504 2267662 2366256 3401493 4535324 4732512 6802986 9070648 13605972 18141296 18683563 27211944 36282592 37367126 54423888 56050689 74734252 108847776 112101378 149468504 224202756 298937008 429721949 448405512 597874016 859443898 896811024 1289165847 1718887796 1793622048 2578331694 3437775592 5156663388 6875551184 10313326776 13751102368 20626653552 41253307104