Search a number
-
+
4345025010024 = 23317412131787
BaseRepresentation
bin111111001110100111101…
…011000001100101101000
3120101101021021010020001010
4333032213223001211220
51032142102400310044
613124024341223520
7625626525130326
oct77164753014550
916341237106033
104345025010024
111425795386356
125a2118101ba0
13256970a840ba
1411042c180d16
1578056397bb9
hex3f3a7ac1968

4345025010024 has 160 divisors (see below), whose sum is σ = 11557443258720. Its totient is φ = 1361259138048.

The previous prime is 4345025009999. The next prime is 4345025010031. The reversal of 4345025010024 is 4200105205434.

It is a super-2 number, since 2×43450250100242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4345025009973 and 4345025010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2431462459 + ... + 2431464245.

It is an arithmetic number, because the mean of its divisors is an integer number (72234020367).

Almost surely, 24345025010024 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 4345025010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778721629360).

4345025010024 is an abundant number, since it is smaller than the sum of its proper divisors (7212418248696).

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

4345025010024 is a wasteful number, since it uses less digits than its factorization.

4345025010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4345025010024 in words is "four trillion, three hundred forty-five billion, twenty-five million, ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1213 1734 1787 2312 2426 3468 3574 3639 4852 4913 5361 6936 7148 7278 9704 9826 10722 14296 14556 14739 19652 20621 21444 29112 29478 30379 39304 41242 42888 58956 60758 61863 82484 83521 91137 117912 121516 123726 164968 167042 182274 243032 247452 250563 334084 350557 364548 494904 501126 516443 668168 701114 729096 1002252 1032886 1051671 1402228 1549329 2004504 2065772 2103342 2167631 2804456 3098658 4131544 4206684 4335262 5959469 6197316 6502893 8413368 8670524 8779531 11918938 12394632 13005786 17341048 17559062 17878407 23837876 26011572 26338593 35118124 35756814 36849727 47675752 52023144 52677186 70236248 71513628 73699454 101310973 105354372 110549181 143027256 147398908 149252027 202621946 210708744 221098362 294797816 298504054 303932919 405243892 442196724 447756081 597008108 607865838 626445359 810487784 884393448 895512162 1194016216 1215731676 1252890718 1791024324 1879336077 2431463352 2505781436 3582048648 3758672154 5011562872 7517344308 10649571103 15034688616 21299142206 31948713309 42598284412 63897426618 85196568824 127794853236 181042708751 255589706472 362085417502 543128126253 724170835004 1086256252506 1448341670008 2172512505012 4345025010024