Search a number
-
+
40125114042 = 231317891033301
BaseRepresentation
bin100101010111101001…
…001010011010111010
310211120101110222200220
4211113221022122322
51124134012122132
630233324240510
72620223561526
oct452751123272
9124511428626
1040125114042
1116020643082
1279399a0136
133a25c7a140
141d29058d86
15109c99ca2c
hex957a4a6ba

40125114042 has 128 divisors (see below), whose sum is σ = 93461921280. Its totient is φ = 11374387200.

The previous prime is 40125114011. The next prime is 40125114101. The reversal of 40125114042 is 24041152104.

It is a super-2 number, since 2×401251140422 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12153792 + ... + 12157092.

It is an arithmetic number, because the mean of its divisors is an integer number (730171260).

Almost surely, 240125114042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46730960640).

40125114042 is an abundant number, since it is smaller than the sum of its proper divisors (53336807238).

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

40125114042 is a wasteful number, since it uses less digits than its factorization.

40125114042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 40125114042 its reverse (24041152104), we get a palindrome (64166266146).

The spelling of 40125114042 in words is "forty billion, one hundred twenty-five million, one hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 89 102 103 178 206 221 267 309 442 534 618 663 1157 1326 1339 1513 1751 2314 2678 3026 3301 3471 3502 4017 4539 5253 6602 6942 8034 9078 9167 9903 10506 18334 19669 19806 22763 27501 39338 42913 45526 55002 56117 59007 68289 85826 112234 118014 119171 128739 136578 155839 168351 238342 257478 293789 311678 336702 340003 357513 467517 587578 680006 715026 729521 881367 935034 1020009 1459042 1762734 2025907 2040018 2188563 3819257 4051814 4377126 4420039 4994413 5780051 6077721 7638514 8840078 9988826 11457771 11560102 12155442 13260117 14983239 17340153 22915542 26520234 29966478 30260267 34680306 60520534 64927369 75140663 90780801 129854738 150281326 181561602 194782107 225421989 389564214 393383471 450843978 514424539 786766942 1028849078 1180150413 1543273617 2360300826 3086547234 6687519007 13375038014 20062557021 40125114042