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41002113504 = 25311180121559
BaseRepresentation
bin100110001011111010…
…101001100111100000
310220211111201011210110
4212023322221213200
51132433020113004
630500333331320
72651033133342
oct461372514740
9126744634713
1041002113504
1116430695820
127b43636b40
133b3587c731
141dad709292
1510ee984589
hex98bea99e0

41002113504 has 96 divisors (see below), whose sum is σ = 117485786880. Its totient is φ = 12417408000.

The previous prime is 41002113479. The next prime is 41002113517. The reversal of 41002113504 is 40531120014.

41002113504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1891077 + ... + 1912635.

It is an arithmetic number, because the mean of its divisors is an integer number (1223810280).

Almost surely, 241002113504 is an apocalyptic number.

41002113504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41002113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58742893440).

41002113504 is an abundant number, since it is smaller than the sum of its proper divisors (76483673376).

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

41002113504 is a wasteful number, since it uses less digits than its factorization.

41002113504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23384 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 41002113504 its reverse (40531120014), we get a palindrome (81533233518).

The spelling of 41002113504 in words is "forty-one billion, two million, one hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1801 3602 5403 7204 10806 14408 19811 21559 21612 28816 39622 43118 43224 57632 59433 64677 79244 86236 86448 118866 129354 158488 172472 172896 237149 237732 258708 316976 344944 474298 475464 517416 633952 689888 711447 948596 950928 1034832 1422894 1897192 1901856 2069664 2845788 3794384 5691576 7588768 11383152 22766304 38827759 77655518 116483277 155311036 232966554 310622072 427105349 465933108 621244144 854210698 931866216 1242488288 1281316047 1708421396 1863732432 2562632094 3416842792 3727464864 5125264188 6833685584 10250528376 13667371168 20501056752 41002113504