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8140907922 = 2372192116907
BaseRepresentation
bin1111001010011110…
…00110010110010010
3210000100112222020020
413211033012112102
5113133033023142
63423451524310
7405511401300
oct74517062622
923010488206
108140907922
1134a836a684
1216b2459696
139c97aa7a4
145732a7270
15329a80cec
hex1e53c6592

8140907922 has 96 divisors (see below), whose sum is σ = 20034305280. Its totient is φ = 2192793120.

The previous prime is 8140907921. The next prime is 8140907933. The reversal of 8140907922 is 2297090418.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8140907921) 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 47 ways as a sum of consecutive naturals, for example, 1175193 + ... + 1182099.

It is an arithmetic number, because the mean of its divisors is an integer number (208690680).

Almost surely, 28140907922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140907922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017152640).

8140907922 is an abundant number, since it is smaller than the sum of its proper divisors (11893397358).

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

8140907922 is a wasteful number, since it uses less digits than its factorization.

8140907922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 8140907922 is about 90226.9800115243. The cubic root of 8140907922 is about 2011.6740525007.

The spelling of 8140907922 in words is "eight billion, one hundred forty million, nine hundred seven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 211 266 294 399 422 633 798 931 1266 1477 1862 2793 2954 4009 4431 5586 6907 8018 8862 10339 12027 13814 20678 20721 24054 28063 31017 41442 48349 56126 62034 84189 96698 131233 145047 168378 196441 262466 290094 338443 392882 393699 589323 676886 787398 918631 1015329 1178646 1457377 1837262 2030658 2755893 2914754 4372131 5511786 6430417 8744262 10201639 12860834 19291251 20403278 27690163 30604917 38582502 55380326 61209834 71411473 83070489 142822946 166140978 193831141 214234419 387662282 428468838 581493423 1162986846 1356817987 2713635974 4070453961 8140907922