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14382557040 = 2435307195203
BaseRepresentation
bin11010110010100010…
…00110011101110000
31101010100022121011210
431121101012131300
5213423413311130
610335100040120
71016261501115
oct153121063560
941110277153
1014382557040
11611063aa85
122954833040
131482953ba7
149a621a90c
155929ed5b0
hex359446770

14382557040 has 80 divisors (see below), whose sum is σ = 44731387008. Its totient is φ = 3822835968.

The previous prime is 14382556961. The next prime is 14382557051. The reversal of 14382557040 is 4075528341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14382557040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23922 + ... + 171281.

Almost surely, 214382557040 is an apocalyptic number.

14382557040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14382557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365693504).

14382557040 is an abundant number, since it is smaller than the sum of its proper divisors (30348829968).

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

14382557040 is a wasteful number, since it uses less digits than its factorization.

14382557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195526 (or 195520 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 14382557040 in words is "fourteen billion, three hundred eighty-two million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 12280 14736 18420 24560 36840 73680 195203 390406 585609 780812 976015 1171218 1561624 1952030 2342436 2928045 3123248 3904060 4684872 5856090 7808120 9369744 11712180 15616240 23424360 46848720 59927321 119854642 179781963 239709284 299636605 359563926 479418568 599273210 719127852 898909815 958837136 1198546420 1438255704 1797819630 2397092840 2876511408 3595639260 4794185680 7191278520 14382557040