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380228857129 = 11229219332
BaseRepresentation
bin1011000100001110110…
…01111110110100101001
31100100102210200020201001
411202013121332310221
522212202041412004
6450401423555001
736320265650032
oct5420731766451
91310383606631
10380228857129
11137288306100
1261835a5ba61
1329b174b2734
1414590451a89
159d55cd71a4
hex588767ed29

380228857129 has 27 divisors (see below), whose sum is σ = 433070135589. Its totient is φ = 333570541920.

The previous prime is 380228857121. The next prime is 380228857243. The reversal of 380228857129 is 921758822083.

The square root of 380228857129 is 616627.

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 16436522025 + 363792335104 = 128205^2 + 603152^2 .

It is not a de Polignac number, because 380228857129 - 23 = 380228857121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 380228857129.

It is not an unprimeable number, because it can be changed into a prime (380228857121) 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, 196703047 + ... + 196704979.

Almost surely, 2380228857129 is an apocalyptic number.

380228857129 is the 616627-th square number.

380228857129 is the 308314-th centered octagonal number.

It is an amenable number.

380228857129 is a deficient number, since it is larger than the sum of its proper divisors (52841278460).

380228857129 is an frugal number, since it uses more digits than its factorization.

380228857129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 380228857129 in words is "three hundred eighty billion, two hundred twenty-eight million, eight hundred fifty-seven thousand, one hundred twenty-nine".

Divisors: 1 11 29 121 319 841 1933 3509 9251 21263 56057 101761 233893 616627 1625653 3736489 6782897 17882183 41101379 108358181 196704013 452115169 1191939991 3142387249 13111339901 34566259739 380228857129