Search a number
-
+
41016565312 = 2617411317019
BaseRepresentation
bin100110001100110001…
…110001111001000000
310220212111220101221121
4212030301301321000
51133000220042222
630502011202024
72651300024032
oct461461617100
9126774811847
1041016565312
1116438866668
127b48446314
133b3886c6b8
141db15cbc52
151100d8b5c7
hex98cc71e40

41016565312 has 112 divisors (see below), whose sum is σ = 88968559680. Its totient is φ = 18684723200.

The previous prime is 41016565301. The next prime is 41016565349. The reversal of 41016565312 is 21356561014.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 5840139 + ... + 5847157.

It is an arithmetic number, because the mean of its divisors is an integer number (794362140).

Almost surely, 241016565312 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 41016565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44484279840).

41016565312 is an abundant number, since it is smaller than the sum of its proper divisors (47951994368).

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

41016565312 is a wasteful number, since it uses less digits than its factorization.

41016565312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 41016565312 in words is "forty-one billion, sixteen million, five hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 131 136 164 262 272 328 524 544 656 697 1048 1088 1312 1394 2096 2227 2624 2788 4192 4454 5371 5576 7019 8384 8908 10742 11152 14038 17816 21484 22304 28076 35632 42968 44608 56152 71264 85936 91307 112304 119323 142528 171872 182614 224608 238646 287779 343744 365228 449216 477292 575558 730456 919489 954584 1151116 1460912 1838978 1909168 2302232 2921824 3677956 3818336 4604464 4892243 5843648 7355912 7636672 9208928 9784486 14711824 15631313 18417856 19568972 29423648 31262626 37699049 39137944 58847296 62525252 75398098 78275888 125050504 150796196 156551776 250101008 301592392 313103552 500202016 603184784 640883833 1000404032 1206369568 1281767666 2412739136 2563535332 5127070664 10254141328 20508282656 41016565312