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41200103232 = 2632120159557
BaseRepresentation
bin100110010111101101…
…111010111101000000
310221100022021002122100
4212113231322331000
51133334211300412
630532125110400
72655656046021
oct462755727500
9127308232570
1041200103232
11165224253a2
127b999b8400
133b678b1a12
141dcbb26c48
151112042edc
hex997b7af40

41200103232 has 84 divisors (see below), whose sum is σ = 118192970116. Its totient is φ = 13721702400.

The previous prime is 41200103221. The next prime is 41200103233. The reversal of 41200103232 is 23230100214.

It can be written as a sum of positive squares in 2 ways, for example, as 2790374976 + 38409728256 = 52824^2 + 195984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41200103233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661998 + ... + 721554.

Almost surely, 241200103232 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 41200103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59096485058).

41200103232 is an abundant number, since it is smaller than the sum of its proper divisors (76992866884).

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

41200103232 is a wasteful number, since it uses less digits than its factorization.

41200103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60776 (or 60763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41200103232 its reverse (23230100214), we get a palindrome (64430203446).

The spelling of 41200103232 in words is "forty-one billion, two hundred million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1201 2402 3603 4804 7206 9608 10809 14412 19216 21618 28824 38432 43236 57648 59557 76864 86472 115296 119114 172944 178671 230592 238228 345888 357342 476456 536013 691776 714684 952912 1072026 1429368 1905824 2144052 2858736 3811648 4288104 5717472 8576208 11434944 17152416 34304832 71527957 143055914 214583871 286111828 429167742 572223656 643751613 858335484 1144447312 1287503226 1716670968 2288894624 2575006452 3433341936 4577789248 5150012904 6866683872 10300025808 13733367744 20600051616 41200103232