Search a number
-
+
41034000337074 = 236414091678337
BaseRepresentation
bin10010101010001111110010…
…00000111000100010110010
312101021210221000222112000000
421111013321000320202302
520334300113041241244
6223134432020010430
711433415531640643
oct1125077100704262
9171253830875000
1041034000337074
1112090470488498
1247287b7830a16
1319b8649937344
14a1c0b036b6ca
154b25c639c169
hex2551f90388b2

41034000337074 has 112 divisors (see below), whose sum is σ = 94766314600440. Its totient is φ = 13311755550720.

The previous prime is 41034000337021. The next prime is 41034000337097. The reversal of 41034000337074 is 47073300043014.

It can be written as a sum of positive squares in 4 ways, for example, as 37286814201849 + 3747186135225 = 6106293^2 + 1935765^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23610034 + ... + 25288370.

Almost surely, 241034000337074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41034000337074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383157300220).

41034000337074 is an abundant number, since it is smaller than the sum of its proper divisors (53732314263366).

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

41034000337074 is a wasteful number, since it uses less digits than its factorization.

41034000337074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678807 (or 1678792 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 41034000337074 in words is "forty-one trillion, thirty-four billion, three hundred thirty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 409 486 729 738 818 1107 1227 1458 2214 2454 3321 3681 6642 7362 9963 11043 16769 19926 22086 29889 33129 33538 50307 59778 66258 99387 100614 150921 198774 298161 301842 452763 596322 905526 1358289 1678337 2716578 3356674 4074867 5035011 8149734 10070022 12224601 15105033 24449202 30210066 45315099 68811817 90630198 135945297 137623634 206435451 271890594 407835891 412870902 619306353 686439833 815671782 1223507673 1238612706 1372879666 1857919059 2059319499 2447015346 3715838118 4118638998 5573757177 6177958497 11147514354 12355916994 16721271531 18533875491 28144033153 33442543062 37067750982 50163814593 55601626473 56288066306 84432099459 100327629186 111203252946 166804879419 168864198918 253296298377 333609758838 500414638257 506592596754 759888895131 1000829276514 1519777790262 2279666685393 4559333370786 6839000056179 13678000112358 20517000168537 41034000337074