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140305357188 = 22325417204013
BaseRepresentation
bin1000001010101011011…
…0011101100110000100
3111102011010021122001200
42002222312131212010
54244321132412223
6144242210422500
713064616600333
oct2025266354604
9442133248050
10140305357188
1154559797557
1223237b91a30
13102ccc17319
146b0ddd7d1a
1539b293ca43
hex20aad9d984

140305357188 has 36 divisors (see below), whose sum is σ = 355316378508. Its totient is φ = 46681997760.

The previous prime is 140305357187. The next prime is 140305357189. The reversal of 140305357188 is 881753503041.

It is a happy number.

140305357188 is a `hidden beast` number, since 1 + 4 + 0 + 30 + 535 + 7 + 1 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (140305357187) and next prime (140305357189).

It can be written as a sum of positive squares in 2 ways, for example, as 79158947904 + 61146409284 = 281352^2 + 247278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (140305357187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3582531 + ... + 3621482.

It is an arithmetic number, because the mean of its divisors is an integer number (9869899403).

Almost surely, 2140305357188 is an apocalyptic number.

140305357188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140305357188 is an abundant number, since it is smaller than the sum of its proper divisors (215011021320).

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

140305357188 is a wasteful number, since it uses less digits than its factorization.

140305357188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204564 (or 7204559 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 140305357188 in words is "one hundred forty billion, three hundred five million, three hundred fifty-seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 3246 4869 6492 9738 19476 7204013 14408026 21612039 28816052 43224078 64836117 86448156 129672234 259344468 3897371033 7794742066 11692113099 15589484132 23384226198 35076339297 46768452396 70152678594 140305357188