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2334525502144 = 261159914833733
BaseRepresentation
bin100001111110001100100…
…100000011001011000000
322021011211002121002221211
4201332030210003023000
5301222102012032034
64544244411255504
7330443501233153
oct41761444031300
98234732532854
102334525502144
1182008086a930
12318543a4a594
1313c1b61c0494
1480dc50a3c9a
1540ad673ed64
hex21f8c9032c0

2334525502144 has 112 divisors (see below), whose sum is σ = 5066924486400. Its totient is φ = 1058378480640.

The previous prime is 2334525502123. The next prime is 2334525502159. The reversal of 2334525502144 is 4412055254332.

It is a junction number, because it is equal to n+sod(n) for n = 2334525502097 and 2334525502106.

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, 625373302 + ... + 625377034.

It is an arithmetic number, because the mean of its divisors is an integer number (45240397200).

Almost surely, 22334525502144 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 2334525502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533462243200).

2334525502144 is an abundant number, since it is smaller than the sum of its proper divisors (2732398984256).

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

2334525502144 is a wasteful number, since it uses less digits than its factorization.

2334525502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5828 counting only the distinct ones).

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

The spelling of 2334525502144 in words is "two trillion, three hundred thirty-four billion, five hundred twenty-five million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 599 704 1198 1483 2396 2966 3733 4792 5932 6589 7466 9584 11864 13178 14932 16313 19168 23728 26356 29864 32626 38336 41063 47456 52712 59728 65252 82126 94912 105424 119456 130504 164252 210848 238912 261008 328504 421696 522016 657008 888317 1044032 1314016 1776634 2236067 2628032 3553268 4472134 5536039 7106536 8944268 9771487 11072078 14213072 17888536 19542974 22144156 24596737 28426144 35777072 39085948 44288312 49193474 56852288 60896429 71554144 78171896 88576624 98386948 121792858 143108288 156343792 177153248 196773896 243585716 312687584 354306496 393547792 487171432 625375168 787095584 974342864 1574191168 1948685728 3316087361 3897371456 6632174722 13264349444 26528698888 36476960971 53057397776 72953921942 106114795552 145907843884 212229591104 291815687768 583631375536 1167262751072 2334525502144