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4025140235004 = 2237191811130931
BaseRepresentation
bin111010100100101101000…
…011011100101011111100
3112020210120221110222000010
4322210231003130223330
51011421441400010004
612321042432303220
7563543504323650
oct72445503345374
915223527428003
104025140235004
111312063800299
125501233a1b10
132327523c2235
14dcb6418ca60
156ea8312da89
hex3a92d0dcafc

4025140235004 has 96 divisors (see below), whose sum is σ = 10791583875072. Its totient is φ = 1143840888000.

The previous prime is 4025140234937. The next prime is 4025140235021. The reversal of 4025140235004 is 4005320415204.

It is a super-2 number, since 2×40251402350042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130117419 + ... + 130148349.

It is an arithmetic number, because the mean of its divisors is an integer number (112412332032).

Almost surely, 24025140235004 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 4025140235004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395791937536).

4025140235004 is an abundant number, since it is smaller than the sum of its proper divisors (6766443640068).

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

4025140235004 is a wasteful number, since it uses less digits than its factorization.

4025140235004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39247 (or 39245 counting only the distinct ones).

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

The spelling of 4025140235004 in words is "four trillion, twenty-five billion, one hundred forty million, two hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 8022 8111 16044 16222 24333 30931 32444 48666 56777 61862 92793 97332 113554 123724 170331 185586 216517 227108 340662 371172 433034 649551 681324 866068 1299102 1549201 2598204 3098402 4647603 5907821 6196804 9295206 10844407 11815642 17723463 18590412 21688814 23631284 32533221 35446926 41354747 43377628 65066442 70893852 82709494 124064241 130132884 165418988 248128482 250881341 496256964 501762682 752644023 1003525364 1505288046 1756169387 3010576092 3512338774 5268508161 7024677548 10537016322 21074032644 47918336131 95836672262 143755008393 191673344524 287510016786 335428352917 575020033572 670856705834 1006285058751 1341713411668 2012570117502 4025140235004