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40233010312 = 23114783233503
BaseRepresentation
bin100101011110000100…
…110000010010001000
310211211220111200120001
4211132010300102020
51124344122312222
630252141012344
72623003642105
oct453604602210
9124756450501
1040233010312
1116076538150
127969b540b4
133a42426aa1
141d39503aac
1510a71b1e27
hex95e130488

40233010312 has 128 divisors (see below), whose sum is σ = 85593231360. Its totient is φ = 17572088320.

The previous prime is 40233010289. The next prime is 40233010313. The reversal of 40233010312 is 21301033204.

It is a self number, because there is not a number n which added to its sum of digits gives 40233010312.

It is not an unprimeable number, because it can be changed into a prime (40233010313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79985853 + ... + 79986355.

It is an arithmetic number, because the mean of its divisors is an integer number (668697120).

Almost surely, 240233010312 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 40233010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42796615680).

40233010312 is an abundant number, since it is smaller than the sum of its proper divisors (45360221048).

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

40233010312 is a wasteful number, since it uses less digits than its factorization.

40233010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 40233010312 its reverse (21301033204), we get a palindrome (61534043516).

The spelling of 40233010312 in words is "forty billion, two hundred thirty-three million, ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 47 83 88 94 166 188 233 332 376 466 503 517 664 913 932 1006 1034 1826 1864 2012 2068 2563 3652 3901 4024 4136 5126 5533 7304 7802 10252 10951 11066 15604 19339 20504 21902 22132 23641 31208 38678 41749 42911 43804 44264 47282 77356 83498 85822 87608 94564 117199 120461 154712 166996 171644 189128 212729 234398 240922 260051 333992 343288 425458 459239 468796 481844 520102 850916 908933 918478 937592 963688 1040204 1289189 1701832 1817866 1836956 1962203 2080408 2578378 3635732 3673912 3924406 5156756 5508353 7271464 7848812 9727517 9998263 10313512 11016706 15697624 19455034 19996526 21584233 22033412 38910068 39993052 43168466 44066824 60591883 77820136 79986104 86336932 107002687 121183766 172673864 214005374 242367532 428010748 457193299 484735064 856021496 914386598 1828773196 3657546392 5029126289 10058252578 20116505156 40233010312