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1424368253961 = 323124123132
BaseRepresentation
bin10100101110100010111…
…101101011110000001001
312001011112200011100122100
4110232202331223300021
5141314101233111321
63010202402544013
7204623113252152
oct24564275536011
95034480140570
101424368253961
114aa086823154
121b0076068009
13a44182aab63
144cd22b04929
15270b7643326
hex14ba2f6bc09

1424368253961 has 81 divisors (see below), whose sum is σ = 2186030830581. Its totient is φ = 893669587200.

The previous prime is 1424368253947. The next prime is 1424368253969. The reversal of 1424368253961 is 1693528634241.

It is a happy number.

The square root of 1424368253961 is 1193469.

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

1424368253961 is a `hidden beast` number, since 1 + 4 + 2 + 43 + 6 + 8 + 2 + 539 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1298950281225 + 125417972736 = 1139715^2 + 354144^2 .

It is not a de Polignac number, because 1424368253961 - 223 = 1424359865353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1424368253898 and 1424368253907.

It is not an unprimeable number, because it can be changed into a prime (1424368253969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4550697141 + ... + 4550697453.

Almost surely, 21424368253961 is an apocalyptic number.

1424368253961 is the 1193469-th square number.

1424368253961 is the 596735-th centered octagonal number.

It is an amenable number.

1424368253961 is a deficient number, since it is larger than the sum of its proper divisors (761662576620).

1424368253961 is an frugal number, since it uses more digits than its factorization.

1424368253961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

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

The spelling of 1424368253961 in words is "one trillion, four hundred twenty-four billion, three hundred sixty-eight million, two hundred fifty-three thousand, nine hundred sixty-one".

Divisors: 1 3 9 31 41 93 123 279 313 369 939 961 1271 1681 2817 2883 3813 5043 8649 9703 11439 12833 15129 29109 38499 39401 52111 87327 97969 115497 118203 156333 293907 300793 354609 397823 468999 526153 881721 902379 1193469 1578459 1615441 2707137 3037039 3580407 4016729 4735377 4846323 9111117 12050187 12332513 14538969 16310743 27333351 36150561 36997539 48932229 94148209 110992617 124518599 146796687 164685889 282444627 373555797 494057667 505633033 847333881 1120667391 1482173001 1516899099 3860076569 4550697297 5105262559 11580229707 15315787677 34740689121 45947363031 158263139329 474789417987 1424368253961