Search a number
-
+
41430455032252 = 221121397101966617
BaseRepresentation
bin10010110101110010001111…
…00011100001100110111100
312102200201020122102202001211
421122321013203201212330
520412244032442013002
6224040515512014204
711504152204151206
oct1132710743414674
9172621218382054
1041430455032252
1112223614859900
1247915bb691364
131a16b4b905a80
14a3335d73b776
154bca7b8d9dd7
hex25ae478e19bc

41430455032252 has 144 divisors (see below), whose sum is σ = 86795169239520. Its totient is φ = 17187055902720.

The previous prime is 41430455032249. The next prime is 41430455032303. The reversal of 41430455032252 is 25223055403414.

It is a super-3 number, since 3×414304550322523 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621886848 + ... + 621953464.

It is an arithmetic number, because the mean of its divisors is an integer number (602744230830).

Almost surely, 241430455032252 is an apocalyptic number.

It is an amenable number.

41430455032252 is an abundant number, since it is smaller than the sum of its proper divisors (45364714207268).

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

41430455032252 is a wasteful number, since it uses less digits than its factorization.

41430455032252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67772 (or 67759 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 41430455032252 in words is "forty-one trillion, four hundred thirty billion, four hundred fifty-five million, thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 11 13 22 26 44 52 97 121 143 194 242 286 388 484 572 1019 1067 1261 1573 2038 2134 2522 3146 4076 4268 5044 6292 11209 11737 13247 13871 22418 23474 26494 27742 44836 46948 52988 55484 66617 98843 123299 133234 145717 152581 197686 246598 266468 291434 305162 395372 493196 582868 610324 732787 866021 1087273 1284959 1465574 1602887 1732042 2174546 2569918 2931148 3205774 3464084 4349092 5139836 6411548 6461849 8060657 9526231 11960003 12923698 14134549 16121314 19052462 23920006 25847396 28269098 32242628 38104924 47840012 56538196 67882723 71080339 84004037 104788541 135765446 142160678 155480039 168008074 209577082 271530892 284321356 310960078 336016148 419154164 621920156 746709953 781883729 882475399 924044407 1493419906 1563767458 1764950798 1848088814 2986839812 3127534916 3529901596 3696177628 6584624131 8213809483 9707229389 10164488477 13169248262 16427618966 19414458778 20328976954 26338496524 32855237932 38828917556 40657953908 72430865441 85600113703 106779523279 144861730882 171200227406 213559046558 289723461764 342400454812 427118093116 796739519851 941601250733 1593479039702 1883202501466 3186958079404 3766405002932 10357613758063 20715227516126 41430455032252