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242023576041742 = 21140146758745383
BaseRepresentation
bin110111000001111010000001…
…010001101111100100001110
31011201221020011010212221011011
4313001322001101233210032
5223210303240431313432
62214424032415115434
7101656424556052105
oct6701720121574416
91151836133787134
10242023576041742
1170130693152320
1223189959b12b7a
13a507957607761
1443aa009b8903c
151cea8c6932847
hexdc1e8146f90e

242023576041742 has 32 divisors (see below), whose sum is σ = 397876376312064. Its totient is φ = 109501392048000.

The previous prime is 242023576041719. The next prime is 242023576041743. The reversal of 242023576041742 is 247140675320242.

It is a super-2 number, since 2×2420235760417422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242023576041743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25252818 + ... + 33492565.

It is an arithmetic number, because the mean of its divisors is an integer number (12433636759752).

Almost surely, 2242023576041742 is an apocalyptic number.

242023576041742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242023576041742 is a deficient number, since it is larger than the sum of its proper divisors (155852800270322).

242023576041742 is a wasteful number, since it uses less digits than its factorization.

242023576041742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58746264.

The product of its (nonzero) digits is 4515840, while the sum is 49.

The spelling of 242023576041742 in words is "two hundred forty-two trillion, twenty-three billion, five hundred seventy-six million, forty-one thousand, seven hundred forty-two".

Divisors: 1 2 11 22 401 467 802 934 4411 5137 8822 10274 187267 374534 2059937 4119874 58745383 117490766 646199213 1292398426 23556898583 27434093861 47113797166 54868187722 259125884413 301775032471 518251768826 603550064942 11001071638261 22002143276522 121011788020871 242023576041742