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232540054233040 = 24529100232781997
BaseRepresentation
bin110100110111111001110011…
…010101000001111111010000
31010111100121112012111020111201
4310313321303111001333100
5220434414012340424130
62142323232014120544
766660315215530201
oct6467716325017720
91114317465436451
10232540054233040
1168104757342814
12220b79a17b0154
139c9a582470868
14415cdda52b5a8
151bd3d790c4bca
hexd37e73541fd0

232540054233040 has 40 divisors (see below), whose sum is σ = 559298923548840. Its totient is φ = 89808572668416.

The previous prime is 232540054233031. The next prime is 232540054233049. The reversal of 232540054233040 is 40332450045232.

It is an interprime number because it is at equal distance from previous prime (232540054233031) and next prime (232540054233049).

It can be written as a sum of positive squares in 4 ways, for example, as 71887268420496 + 160652785812544 = 8478636^2 + 12674888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232540054233049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50116388679 + ... + 50116393318.

It is an arithmetic number, because the mean of its divisors is an integer number (13982473088721).

Almost surely, 2232540054233040 is an apocalyptic number.

232540054233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540054233040 is an abundant number, since it is smaller than the sum of its proper divisors (326758869315800).

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

232540054233040 is a wasteful number, since it uses less digits than its factorization.

232540054233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100232782039 (or 100232782033 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

The spelling of 232540054233040 in words is "two hundred thirty-two trillion, five hundred forty billion, fifty-four million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 100232781997 200465563994 400931127988 501163909985 801862255976 1002327819970 1603724511952 2004655639940 2906750677913 4009311279880 5813501355826 8018622559760 11627002711652 14533753389565 23254005423304 29067506779130 46508010846608 58135013558260 116270027116520 232540054233040