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41353515040 = 2551972515227
BaseRepresentation
bin100110100000110111…
…001001000000100000
310221201222221020002011
4212200313021000200
51134142444440130
630555245202304
72662531035535
oct464067110040
9127658836064
1041353515040
11165a0a87a12
128021260394
133b90606836
14200425cd8c
15112074852a
hex9a0dc9020

41353515040 has 96 divisors (see below), whose sum is σ = 98603676864. Its totient is φ = 16388736000.

The previous prime is 41353515031. The next prime is 41353515041. The reversal of 41353515040 is 4051535314.

It is a super-2 number, since 2×413535150402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41353514993 and 41353515011.

It is not an unprimeable number, because it can be changed into a prime (41353515041) 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, 7908907 + ... + 7914133.

It is an arithmetic number, because the mean of its divisors is an integer number (1027121634).

Almost surely, 241353515040 is an apocalyptic number.

41353515040 is a gapful number since it is divisible by the number (40) 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 41353515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49301838432).

41353515040 is an abundant number, since it is smaller than the sum of its proper divisors (57250161824).

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

41353515040 is a wasteful number, since it uses less digits than its factorization.

41353515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 41353515040 in words is "forty-one billion, three hundred fifty-three million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 251 394 502 788 985 1004 1255 1576 1970 2008 2510 3152 3940 4016 5020 5227 6304 7880 8032 10040 10454 15760 20080 20908 26135 31520 40160 41816 49447 52270 83632 98894 104540 167264 197788 209080 247235 395576 418160 494470 791152 836320 988940 1029719 1311977 1582304 1977880 2059438 2623954 3955760 4118876 5148595 5247908 6559885 7911520 8237752 10297190 10495816 13119770 16475504 20594380 20991632 26239540 32951008 41188760 41983264 52479080 82377520 104958160 164755040 209916320 258459469 516918938 1033837876 1292297345 2067675752 2584594690 4135351504 5169189380 8270703008 10338378760 20676757520 41353515040