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242776620234020 = 225257113534160381
BaseRepresentation
bin110111001100110111010110…
…001101010111010100100100
31011211121012220002101111021002
4313030313112031113110210
5223310123004234442040
62220202012321412432
7102065013654062405
oct6714672615272444
91154535802344232
10242776620234020
11703a0a93a48754
122328b89aa9a118
13a5609773cc702
1443d4645c0b9ac
151d1029c752a15
hexdccdd6357524

242776620234020 has 48 divisors (see below), whose sum is σ = 511859885242608. Its totient is φ = 96724241940480.

The previous prime is 242776620234019. The next prime is 242776620234073. The reversal of 242776620234020 is 20432026677242.

It can be written as a sum of positive squares in 8 ways, for example, as 2429084336704 + 240347535897316 = 1558552^2 + 15503146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56274230 + ... + 60434610.

It is an arithmetic number, because the mean of its divisors is an integer number (10663747609221).

Almost surely, 2242776620234020 is an apocalyptic number.

242776620234020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242776620234020 is an abundant number, since it is smaller than the sum of its proper divisors (269083265008588).

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

242776620234020 is a wasteful number, since it uses less digits than its factorization.

242776620234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172000 (or 4171998 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 47.

The spelling of 242776620234020 in words is "two hundred forty-two trillion, seven hundred seventy-six billion, six hundred twenty million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 11353 22706 45412 56765 113530 227060 2917721 4160381 5835442 8320762 11670884 14588605 16641524 20801905 29177210 41603810 58354420 83207620 1069217917 2138435834 4276871668 5346089585 10692179170 21384358340 47232805493 94465610986 188931221972 236164027465 472328054930 944656109860 12138831011701 24277662023402 48555324046804 60694155058505 121388310117010 242776620234020