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342454381503529 = 432101242612
BaseRepresentation
bin100110111011101011101111…
…1110000101110010000101001
31122220112022121122200102122211
41031313113133300232100221
5324341233033131103104
63212201212050045121
7132063340550226331
oct11567273760562051
91586468548612584
10342454381503529
119a1310a6656219
12324a9b535797a1
1311911404299a19
14607cc481560c1
15298d0572c9e04
hex13775dfc2e429

342454381503529 has 27 divisors (see below), whose sum is σ = 354192464510757. Its totient is φ = 331100817516000.

The previous prime is 342454381503523. The next prime is 342454381503589. The reversal of 342454381503529 is 925305183454243.

The square root of 342454381503529 is 18505523.

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

It can be written as a sum of positive squares in 4 ways, for example, as 294526452503529 + 47927929000000 = 17161773^2 + 6923000^2 .

It is not a de Polignac number, because 342454381503529 - 25 = 342454381503497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342454381503523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80369484259 + ... + 80369488519.

Almost surely, 2342454381503529 is an apocalyptic number.

342454381503529 is the 18505523-rd square number.

342454381503529 is the 9252762-nd centered octagonal number.

It is an amenable number.

342454381503529 is a deficient number, since it is larger than the sum of its proper divisors (11738083007228).

342454381503529 is an frugal number, since it uses more digits than its factorization.

342454381503529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 58.

The spelling of 342454381503529 in words is "three hundred forty-two trillion, four hundred fifty-four billion, three hundred eighty-one million, five hundred three thousand, five hundred twenty-nine".

Divisors: 1 43 101 1849 4261 4343 10201 183223 186749 430361 438643 7878589 18156121 18505523 18861649 43466461 780713203 795737489 1833768221 1869057823 33570667729 78852033503 80369486389 185210590321 3390637440629 7964055383803 342454381503529