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1431440406 = 23211229131173
BaseRepresentation
bin101010101010010…
…0000110000010110
310200202111201002100
41111110200300112
510412422043111
6354012422530
750321020434
oct12524406026
93622451070
101431440406
11675013400
1233b477a46
1319a739276
14d8177d54
1585a05756
hex55520c16

1431440406 has 144 divisors (see below), whose sum is σ = 3574050480. Its totient is φ = 413212800.

The previous prime is 1431440371. The next prime is 1431440419. The reversal of 1431440406 is 6040441341.

It is a self number, because there is not a number n which added to its sum of digits gives 1431440406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8274136 + ... + 8274308.

It is an arithmetic number, because the mean of its divisors is an integer number (24819795).

Almost surely, 21431440406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431440406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787025240).

1431440406 is an abundant number, since it is smaller than the sum of its proper divisors (2142610074).

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

1431440406 is a wasteful number, since it uses less digits than its factorization.

1431440406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1431440406 is about 37834.3812688935. The cubic root of 1431440406 is about 1127.0013182373.

Adding to 1431440406 its reverse (6040441341), we get a palindrome (7471881747).

The spelling of 1431440406 in words is "one billion, four hundred thirty-one million, four hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 131 173 174 198 242 261 262 319 346 363 393 519 522 638 726 786 957 1038 1089 1179 1441 1557 1903 1914 2178 2358 2871 2882 3114 3509 3799 3806 4323 5017 5709 5742 7018 7598 8646 10034 10527 11397 11418 12969 15051 15851 17127 20933 21054 22663 22794 25938 30102 31581 31702 34191 34254 41789 41866 45153 45326 47553 55187 62799 63162 67989 68382 83578 90306 95106 110374 125367 125598 135978 142659 165561 188397 203967 249293 250734 285318 331122 376101 376794 407934 459679 496683 498586 607057 657227 747879 752202 919358 993366 1214114 1314454 1379037 1495758 1821171 1971681 2243637 2742223 2758074 3642342 3943362 4137111 4487274 5463513 5484446 5915043 7229497 8226669 8274222 10927026 11830086 14458994 16453338 21688491 24680007 43376982 49360014 65065473 79524467 130130946 159048934 238573401 477146802 715720203 1431440406