Search a number
-
+
3413121101432 = 2371710167752433
BaseRepresentation
bin110001101010101101110…
…111101110111001111000
3110002021212021111122211122
4301222231313232321320
5421410033000221212
611131544410244412
7501406215452120
oct61525567567170
913067767448748
103413121101432
1110a6550977859
1247159b426708
131b9b18661293
14bb2a5949c80
155dbb3011272
hex31aaddeee78

3413121101432 has 128 divisors (see below), whose sum is σ = 7832431520640. Its totient is φ = 1361050828800.

The previous prime is 3413121101363. The next prime is 3413121101459. The reversal of 3413121101432 is 2341011213143.

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, 65068688 + ... + 65121120.

It is an arithmetic number, because the mean of its divisors is an integer number (61190871255).

Almost surely, 23413121101432 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 3413121101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916215760320).

3413121101432 is an abundant number, since it is smaller than the sum of its proper divisors (4419310419208).

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

3413121101432 is a wasteful number, since it uses less digits than its factorization.

3413121101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53241 (or 53237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 3413121101432 its reverse (2341011213143), we get a palindrome (5754132314575).

The spelling of 3413121101432 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 677 707 808 952 1354 1414 1717 2708 2828 3434 4739 5416 5656 6868 9478 11509 12019 13736 18956 23018 24038 37912 46036 48076 52433 68377 80563 92072 96152 104866 136754 161126 209732 273508 322252 367031 419464 478639 547016 644504 734062 891361 957278 1162409 1468124 1782722 1914556 2324818 2936248 3565444 3829112 4649636 5295733 6239527 7130888 8136863 9299272 10591466 12479054 16273726 21182932 24958108 32547452 35497141 37070131 42365864 49916216 65094904 70994282 74140262 90027461 141988564 148280524 180054922 248479987 283977128 296561048 360109844 496959974 603451397 630192227 720219688 993919948 1206902794 1260384454 1987839896 2413805588 2520768908 3585211241 4224159779 4827611176 5041537816 7170422482 8448319558 14340844964 16896639116 25096478687 28681689928 33793278232 50192957374 60948591097 100385914748 121897182194 200771829496 243794364388 426640137679 487588728776 853280275358 1706560550716 3413121101432