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242066041525 = 52711198637669
BaseRepresentation
bin1110000101110001000…
…0101010101010110101
3212010210222222000011101
43201130100222222311
512431222401312100
6303111551210101
723326423255330
oct3413420525265
9763728860141
10242066041525
1193728a73880
123aab7516931
1319a9942c8c9
14ba04c19617
15646b51686a
hex385c42aab5

242066041525 has 96 divisors (see below), whose sum is σ = 394431897600. Its totient is φ = 142772025600.

The previous prime is 242066041501. The next prime is 242066041571. The reversal of 242066041525 is 525140660242.

It is a happy number.

It is not a de Polignac number, because 242066041525 - 217 = 242065910453 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31560391 + ... + 31568059.

It is an arithmetic number, because the mean of its divisors is an integer number (4108665600).

Almost surely, 2242066041525 is an apocalyptic number.

242066041525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242066041525 is a deficient number, since it is larger than the sum of its proper divisors (152365856075).

242066041525 is a wasteful number, since it uses less digits than its factorization.

242066041525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 242066041525 in words is "two hundred forty-two billion, sixty-six million, forty-one thousand, five hundred twenty-five".

Divisors: 1 5 7 11 19 25 35 55 77 95 133 175 209 275 385 475 665 863 1045 1463 1925 3325 4315 5225 6041 7315 7669 9493 16397 21575 30205 36575 38345 47465 53683 66451 81985 84359 114779 145711 151025 180367 191725 237325 268415 332255 409925 421795 573895 590513 728555 901835 1019977 1262569 1342075 1602821 1661275 2108975 2869475 2952565 3642775 4509175 5099885 6312845 6618347 8014105 11219747 14762825 25499425 31564225 33091735 40070525 46328429 56098735 72801817 125748593 165458675 231642145 280493675 364009085 509612719 628742965 880240151 1158210725 1383234523 1820045425 2548063595 3143714825 4401200755 6916172615 9682641661 12740317975 22006003775 34580863075 48413208305 242066041525