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1406244965904 = 243217258132
BaseRepresentation
bin10100011101101010101…
…110110100111000010000
311222102202121222221012100
4110131222232310320100
5141014442202402104
62554004154000400
7203412026662512
oct24355256647020
94872677887170
101406244965904
114a2426693639
121a8658716100
13a27ba671b7c
144c0c3b83bb2
15268a6535139
hex1476abb4e10

1406244965904 has 135 divisors (see below), whose sum is σ = 4181371789543. Its totient is φ = 441098996736.

The previous prime is 1406244965893. The next prime is 1406244965911. The reversal of 1406244965904 is 4095694426041.

The square root of 1406244965904 is 1185852.

It is a perfect power (a square), and thus also a powerful number.

1406244965904 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 2 + 4 + 49 + 6 + 590 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317811807504 + 1088433158400 = 563748^2 + 1043280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 241910902 + ... + 241916714.

Almost surely, 21406244965904 is an apocalyptic number.

1406244965904 is the 1185852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406244965904

1406244965904 is an abundant number, since it is smaller than the sum of its proper divisors (2775126823639).

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

1406244965904 is an frugal number, since it uses more digits than its factorization.

1406244965904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11674 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1406244965904 in words is "one trillion, four hundred six billion, two hundred forty-four million, nine hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 5813 6936 10404 11626 13872 17439 20808 23252 34878 41616 46504 52317 69756 93008 98821 104634 139512 197642 209268 279024 296463 395284 418536 592926 790568 837072 889389 1185852 1581136 1679957 1778778 2371704 3359914 3557556 4743408 5039871 6719828 7115112 10079742 13439656 14230224 15119613 20159484 26879312 30239226 33790969 40318968 60478452 67581938 80637936 101372907 120956904 135163876 202745814 241913808 270327752 304118721 405491628 540655504 574446473 608237442 810983256 1148892946 1216474884 1621966512 1723339419 2297785892 2432949768 3446678838 4595571784 4865899536 5170018257 6893357676 9191143568 9765590041 10340036514 13786715352 19531180082 20680073028 27573430704 29296770123 39062360164 41360146056 58593540246 78124720328 82720292112 87890310369 117187080492 156249440656 175780620738 234374160984 351561241476 468748321968 703122482952 1406244965904