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242044734625655 = 513171993111238179
BaseRepresentation
bin110111000010001101101110…
…011011010101011101110111
31011202000020202201111100202012
4313002031232123111131313
5223211130104031010110
62214441452133034435
7101661104110050503
oct6702155633253567
91152006681440665
10242044734625655
117013966066a605
1223191a83a85a1b
13a50994a0355b0
1443ab055c9d303
151ceb214257905
hexdc236e6d5777

242044734625655 has 64 divisors (see below), whose sum is σ = 348665148518400. Its totient is φ = 159355291576320.

The previous prime is 242044734625597. The next prime is 242044734625669. The reversal of 242044734625655 is 556526437440242.

It is not a de Polignac number, because 242044734625655 - 228 = 242044466190199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242044734625594 and 242044734625603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194865356 + ... + 196103534.

It is an arithmetic number, because the mean of its divisors is an integer number (5447892945600).

Almost surely, 2242044734625655 is an apocalyptic number.

242044734625655 is a deficient number, since it is larger than the sum of its proper divisors (106620413892745).

242044734625655 is a wasteful number, since it uses less digits than its factorization.

242044734625655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247544.

The product of its (nonzero) digits is 193536000, while the sum is 59.

The spelling of 242044734625655 in words is "two hundred forty-two trillion, forty-four billion, seven hundred thirty-four million, six hundred twenty-five thousand, six hundred fifty-five".

Divisors: 1 5 13 17 19 65 85 95 221 247 323 1105 1235 1615 4199 9311 20995 46555 121043 158287 176909 605215 791435 884545 1238179 2057731 2299817 3007453 6190895 10288655 11499085 15037265 16096327 21049043 23525401 39096889 80481635 105245215 117627005 195484445 273637559 305830213 399931817 1368187795 1529151065 1999659085 5199113621 11528684669 25995568105 57643423345 149872900697 195987639373 219045008711 749364503485 979938196865 1095225043555 2547839311849 2847585113243 3723765148087 12739196559245 14237925566215 18618825740435 48408946925131 242044734625655