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41160256540 = 225131993792099
BaseRepresentation
bin100110010101010101…
…111010110000011100
310221020112021200020221
4212111111322300130
51133244011202130
630524143051124
72654663256634
oct462525726034
9127215250227
1041160256540
1116501989a47
127b885a0aa4
133b5c56cbb0
141dc67136c4
15110d7c187a
hex99557ac1c

41160256540 has 96 divisors (see below), whose sum is σ = 93844800000. Its totient is φ = 15074180352.

The previous prime is 41160256519. The next prime is 41160256559. The reversal of 41160256540 is 4565206114.

41160256540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411602565402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41160256496 and 41160256505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19608411 + ... + 19610509.

It is an arithmetic number, because the mean of its divisors is an integer number (977550000).

Almost surely, 241160256540 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 41160256540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46922400000).

41160256540 is an abundant number, since it is smaller than the sum of its proper divisors (52684543460).

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

41160256540 is a wasteful number, since it uses less digits than its factorization.

41160256540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 41160256540 in words is "forty-one billion, one hundred sixty million, two hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 379 398 758 796 995 1516 1895 1990 2099 2587 3790 3980 4198 4927 5174 7580 8396 9854 10348 10495 12935 19708 20990 24635 25870 27287 41980 49270 51740 54574 75421 98540 109148 136435 150842 272870 301684 377105 417701 545740 754210 795521 835402 980473 1508420 1591042 1670804 1960946 2088505 3182084 3921892 3977605 4177010 4902365 5430113 7955210 8354020 9804730 10341773 10860226 15910420 19609460 20683546 21720452 27150565 41367092 51708865 54301130 103417730 108602260 158308679 206835460 316617358 633234716 791543395 1583086790 2058012827 3166173580 4116025654 8232051308 10290064135 20580128270 41160256540