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4003142210124 = 2232943696138431
BaseRepresentation
bin111010010000001101110…
…111101001001001001100
3112011200210212022111212220
4322100031313221021030
51011041413401210444
612303003530255340
7562134411232431
oct72201567511114
915150725274786
104003142210124
1113037a5463642
12547a04287550
13230657ab2275
14dba787a3b88
156e1e6c90619
hex3a40dde924c

4003142210124 has 96 divisors (see below), whose sum is σ = 9889150064640. Its totient is φ = 1258192051200.

The previous prime is 4003142210117. The next prime is 4003142210191. The reversal of 4003142210124 is 4210122413004.

It is a junction number, because it is equal to n+sod(n) for n = 4003142210094 and 4003142210103.

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, 104145189 + ... + 104183619.

It is an arithmetic number, because the mean of its divisors is an integer number (103011979840).

Almost surely, 24003142210124 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 4003142210124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944575032320).

4003142210124 is an abundant number, since it is smaller than the sum of its proper divisors (5886007854516).

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

4003142210124 is a wasteful number, since it uses less digits than its factorization.

4003142210124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45471 (or 45469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4003142210124 its reverse (4210122413004), we get a palindrome (8213264623128).

The spelling of 4003142210124 in words is "four trillion, three billion, one hundred forty-two million, two hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 6961 7482 13922 14964 20883 27844 38431 41766 76862 83532 115293 153724 201869 230586 299323 403738 461172 598646 605607 807476 897969 1114499 1197292 1211214 1652533 1795938 2228998 2422428 3305066 3343497 3591876 4457996 4957599 6610132 6686994 8680367 9915198 13373988 17360734 19830396 26041101 34721468 47923457 52082202 95846914 104164404 143770371 191693828 267518191 287540742 535036382 575081484 802554573 1070072764 1605109146 3210218292 7758027539 11503282213 15516055078 23006564426 23274082617 31032110156 34509846639 46013128852 46548165234 69019693278 93096330468 138039386556 333595184177 667190368354 1000785552531 1334380736708 2001571105062 4003142210124