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3413229748158 = 235318124121021
BaseRepresentation
bin110001101010110100010…
…110001011111110111110
3110002022010211221111010110
4301222310112023332332
5421410243303420113
611132003251050450
7501412005106326
oct61526426137676
913068124844113
103413229748158
1110a65a723473a
1247160b8a0a26
131b9b35011699
14bb2b614c286
155dbbc822bc3
hex31ab458bfbe

3413229748158 has 96 divisors (see below), whose sum is σ = 7029705717216. Its totient is φ = 1104420096000.

The previous prime is 3413229748157. The next prime is 3413229748169. The reversal of 3413229748158 is 8518479223143.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3413229748098 and 3413229748107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413229748157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343025688 + ... + 3343026708.

It is an arithmetic number, because the mean of its divisors is an integer number (73226101221).

Almost surely, 23413229748158 is an apocalyptic number.

3413229748158 is an abundant number, since it is smaller than the sum of its proper divisors (3616475969058).

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

3413229748158 is a wasteful number, since it uses less digits than its factorization.

3413229748158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1501 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 3413229748158 in words is "three trillion, four hundred thirteen billion, two hundred twenty-nine million, seven hundred forty-eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 53 106 159 181 241 318 362 482 543 723 1021 1086 1446 2042 3063 6126 9593 12773 19186 25546 28779 38319 43621 54113 57558 58081 76638 87242 108226 116162 130863 162339 174243 184801 246061 261726 324678 348486 369602 492122 554403 738183 1108806 1476366 2311913 3078293 4623826 6156586 6935739 9234879 9794453 10512661 13041233 13871478 18469758 19588906 21025322 26082466 29383359 31537983 39123699 44537041 58766718 59300701 63075966 78247398 89074082 118601402 133611123 177902103 267222246 355804206 557171033 1114342066 1671513099 2360463173 3142937153 3343026198 4720926346 6285874306 7081389519 9428811459 10733426881 14162779038 18857622918 21466853762 32200280643 64400561286 568871624693 1137743249386 1706614874079 3413229748158