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8140042992 = 2433124122699
BaseRepresentation
bin1111001010010111…
…10011001011110000
3210000021221000202210
413211023303023300
5113132322333432
63423421212120
7405501136524
oct74513631360
923007830683
108140042992
1134a7929864
1216b2101040
139c9566bb3
1457311dd84
1532995e8cc
hex1e52f32f0

8140042992 has 80 divisors (see below), whose sum is σ = 21797811200. Its totient is φ = 2614809600.

The previous prime is 8140042987. The next prime is 8140042997. The reversal of 8140042992 is 2992400418.

It is an interprime number because it is at equal distance from previous prime (8140042987) and next prime (8140042997).

It is a self number, because there is not a number n which added to its sum of digits gives 8140042992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140042997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347259 + ... + 369957.

It is an arithmetic number, because the mean of its divisors is an integer number (272472640).

Almost surely, 28140042992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898905600).

8140042992 is an abundant number, since it is smaller than the sum of its proper divisors (13657768208).

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

8140042992 is a wasteful number, since it uses less digits than its factorization.

8140042992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8140042992 is about 90222.1868056854. The cubic root of 8140042992 is about 2011.6028066037.

The spelling of 8140042992 in words is "eight billion, one hundred forty million, forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 241 248 372 482 496 723 744 964 1446 1488 1928 2892 3856 5784 7471 11568 14942 22413 22699 29884 44826 45398 59768 68097 89652 90796 119536 136194 179304 181592 272388 358608 363184 544776 703669 1089552 1407338 2111007 2814676 4222014 5470459 5629352 8444028 10940918 11258704 16411377 16888056 21881836 32822754 33776112 43763672 65645508 87527344 131291016 169584229 262582032 339168458 508752687 678336916 1017505374 1356673832 2035010748 2713347664 4070021496 8140042992