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242490578707881 = 3272277226772
BaseRepresentation
bin110111001000101100111100…
…110011100010010110101001
31011210120212120100210101221100
4313020230330303202112221
5223240431201122123011
62215422344535032013
7102035236411163100
oct6710547463422651
91153525510711840
10242490578707881
11702a0749a67469
122324437020b609
13a53c9c04005ba
1443c486c853037
151d07b0a722d56
hexdc8b3cce25a9

242490578707881 has 81 divisors (see below), whose sum is σ = 409079218038309. Its totient is φ = 138014231721408.

The previous prime is 242490578707859. The next prime is 242490578708033. The reversal of 242490578707881 is 188707875094242.

The square root of 242490578707881 is 15572109.

It is a perfect power (a square), and thus also a powerful number.

242490578707881 is a `hidden beast` number, since 2 + 4 + 2 + 49 + 0 + 578 + 7 + 0 + 7 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172999015162281 + 69491563545600 = 13152909^2 + 8336160^2 .

It is a de Polignac number, because none of the positive numbers 2k-242490578707881 is a prime.

It is a super-2 number, since 2×2424905787078812 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242490578707831) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90582956715 + ... + 90582959391.

Almost surely, 2242490578707881 is an apocalyptic number.

242490578707881 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242490578707881 is the 15572109-th square number.

242490578707881 is the 7786055-th centered octagonal number.

It is an amenable number.

242490578707881 is a deficient number, since it is larger than the sum of its proper divisors (166588639330428).

242490578707881 is an frugal number, since it uses more digits than its factorization.

242490578707881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 242490578707881 in words is "two hundred forty-two trillion, four hundred ninety billion, five hundred seventy-eight million, seven hundred seven thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 277 441 831 1939 2493 2677 5817 8031 13573 17451 18739 24093 40719 56217 76729 122157 131173 168651 230187 393519 537103 690561 741529 1180557 1611309 2224587 3759721 4833927 5190703 6673761 7166329 11279163 15572109 21498987 33837489 36334921 46716327 50164303 64496961 109004763 150492909 205403533 327014289 351150121 451478727 616210599 1053450363 1437824731 1848631797 1985073133 3160351089 4313474193 5955219399 10064773117 12940422579 13895511931 17865658197 30194319351 41686535793 90582958053 97268583517 125059607379 291805750551 549865257841 875417251653 1649595773523 3849056804887 4948787320569 11547170414661 26943397634209 34641511243983 80830192902627 242490578707881