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40125232524 = 223132294012801
BaseRepresentation
bin100101010111101001…
…100111010110001100
310211120101201000020010
4211113221213112030
51124134024420044
630233330553220
72620224564126
oct452751472614
9124511630203
1040125232524
11160207140a3
127939a38810
133a25cbc050
141d2908a216
15109c9c2bb9
hex957a6758c

40125232524 has 96 divisors (see below), whose sum is σ = 101556584640. Its totient is φ = 12257280000.

The previous prime is 40125232369. The next prime is 40125232529. The reversal of 40125232524 is 42523252104.

It is a super-2 number, since 2×401252325242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40125232491 and 40125232500.

It is not an unprimeable number, because it can be changed into a prime (40125232529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14323924 + ... + 14326724.

It is an arithmetic number, because the mean of its divisors is an integer number (1057881090).

Almost surely, 240125232524 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 40125232524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778292320).

40125232524 is an abundant number, since it is smaller than the sum of its proper divisors (61431352116).

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

40125232524 is a wasteful number, since it uses less digits than its factorization.

40125232524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

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

Adding to 40125232524 its reverse (42523252104), we get a palindrome (82648484628).

The spelling of 40125232524 in words is "forty billion, one hundred twenty-five million, two hundred thirty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 401 458 687 802 916 1203 1374 1604 2406 2748 2801 2977 4812 5213 5602 5954 8403 8931 10426 11204 11908 15639 16806 17862 20852 31278 33612 35724 36413 62556 72826 91829 109239 145652 183658 218478 275487 367316 436956 550974 641429 1101948 1123201 1193777 1282858 1924287 2246402 2387554 2565716 3369603 3581331 3848574 4492804 4775108 6739206 7162662 7697148 8338577 13478412 14325324 14601613 16677154 25015731 29203226 33354308 43804839 50031462 58406452 87609678 100062924 175219356 257213029 514426058 771639087 1028852116 1543278174 3086556348 3343769377 6687538754 10031308131 13375077508 20062616262 40125232524