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40403213144 = 23743672231123
BaseRepresentation
bin100101101000001110…
…000001101101011000
310212021202202212221122
4211220032001231120
51130221210310034
630321101024412
72630141434220
oct455016015530
9125252685848
1040403213144
1116153619048
1279b6b55108
133a6b77a518
141d53d6b080
1510b70d262e
hex968381b58

40403213144 has 128 divisors (see below), whose sum is σ = 90397655040. Its totient is φ = 16571060352.

The previous prime is 40403213141. The next prime is 40403213171. The reversal of 40403213144 is 44131230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40403213141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35977367 + ... + 35978489.

It is an arithmetic number, because the mean of its divisors is an integer number (706231680).

Almost surely, 240403213144 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 40403213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198827520).

40403213144 is an abundant number, since it is smaller than the sum of its proper divisors (49994441896).

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

40403213144 is a wasteful number, since it uses less digits than its factorization.

40403213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 40403213144 its reverse (44131230404), we get a palindrome (84534443548).

The spelling of 40403213144 in words is "forty billion, four hundred three million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 67 86 134 172 223 268 301 344 446 469 536 602 892 938 1123 1204 1561 1784 1876 2246 2408 2881 3122 3752 4492 5762 6244 7861 8984 9589 11524 12488 14941 15722 19178 20167 23048 29882 31444 38356 40334 48289 59764 62888 67123 75241 76712 80668 96578 104587 119528 134246 150482 161336 193156 209174 250429 268492 300964 338023 386312 418348 500858 526687 536984 601928 642463 676046 836696 1001716 1053374 1284926 1352092 1753003 2003432 2106748 2569852 2704184 3235363 3506006 4213496 4497241 5139704 6470726 7012012 8994482 10768447 12941452 14024024 16778743 17988964 21536894 22647541 25882904 33557486 35977928 43073788 45295082 67114972 75379129 86147576 90590164 117451201 134229944 150758258 181180328 234902402 301516516 469804804 603033032 721485949 939609608 1442971898 2885943796 5050401643 5771887592 10100803286 20201606572 40403213144