Search a number
-
+
242613363405024 = 2534199470355953
BaseRepresentation
bin110111001010011111010011…
…010101111111000011100000
31011211000121111102212021210000
4313022133103111333003200
5223244434132012430044
62215555012425140000
7102050144212660053
oct6712372325770340
91154017442767700
10242613363405024
11703388277a7787
122326411862a600
13a54b45a4b7751
1443ca799958a9a
151d0ade4dddd69
hexdca7d357f0e0

242613363405024 has 120 divisors (see below), whose sum is σ = 717104687468400. Its totient is φ = 80464733420544.

The previous prime is 242613363405019. The next prime is 242613363405059. The reversal of 242613363405024 is 420504363316242.

242613363405024 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 1 + 3 + 3 + 634 + 0 + 5 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×2426133634050242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234662169 + ... + 235693784.

It is an arithmetic number, because the mean of its divisors is an integer number (5975872395570).

Almost surely, 2242613363405024 is an apocalyptic number.

242613363405024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242613363405024 is an abundant number, since it is smaller than the sum of its proper divisors (474491324063376).

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

242613363405024 is a wasteful number, since it uses less digits than its factorization.

242613363405024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470356174 (or 470356157 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 242613363405024 in words is "two hundred forty-two trillion, six hundred thirteen billion, three hundred sixty-three million, four hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 288 324 398 432 597 648 796 864 1194 1296 1592 1791 2388 2592 3184 3582 4776 5373 6368 7164 9552 10746 14328 16119 19104 21492 28656 32238 42984 57312 64476 85968 128952 171936 257904 515808 470355953 940711906 1411067859 1881423812 2822135718 3762847624 4233203577 5644271436 7525695248 8466407154 11288542872 12699610731 15051390496 16932814308 22577085744 25399221462 33865628616 38098832193 45154171488 50798442924 67731257232 76197664386 93600834647 101596885848 135462514464 152395328772 187201669294 203193771696 280802503941 304790657544 374403338588 406387543392 561605007882 609581315088 748806677176 842407511823 1123210015764 1219162630176 1497613354352 1684815023646 2246420031528 2527222535469 2995226708704 3369630047292 4492840063056 5054445070938 6739260094584 7581667606407 8985680126112 10108890141876 13478520189168 15163335212814 20217780283752 26957040378336 30326670425628 40435560567504 60653340851256 80871121135008 121306681702512 242613363405024