Search a number
-
+
41111100936 = 233487772341
BaseRepresentation
bin100110010010011010…
…011001111000001000
310221010002210022110000
4212102122121320020
51133143420212221
630515225323000
72653525410063
oct462232317010
9127102708400
1041111100936
1116487165684
127b74036460
133b5231bc39
141dbdd998da
151109311e26
hex992699e08

41111100936 has 80 divisors (see below), whose sum is σ = 115282040940. Its totient is φ = 13687885440.

The previous prime is 41111100929. The next prime is 41111100937. The reversal of 41111100936 is 63900111114.

It can be written as a sum of positive squares in 2 ways, for example, as 34593768036 + 6517332900 = 185994^2 + 80730^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41111100937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532126 + ... + 604466.

Almost surely, 241111100936 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 41111100936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57641020470).

41111100936 is an abundant number, since it is smaller than the sum of its proper divisors (74170940004).

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

41111100936 is a wasteful number, since it uses less digits than its factorization.

41111100936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73236 (or 73223 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 41111100936 in words is "forty-one billion, one hundred eleven million, one hundred thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 877 1754 2631 3508 5262 7016 7893 10524 15786 21048 23679 31572 47358 63144 71037 72341 94716 142074 144682 189432 217023 284148 289364 434046 568296 578728 651069 868092 1302138 1736184 1953207 2604276 3906414 5208552 5859621 7812828 11719242 15625656 23438484 46876968 63443057 126886114 190329171 253772228 380658342 507544456 570987513 761316684 1141975026 1522633368 1712962539 2283950052 3425925078 4567900104 5138887617 6851850156 10277775234 13703700312 20555550468 41111100936