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14140746813408 = 253433425568511
BaseRepresentation
bin1100110111000110011000…
…1100001100111111100000
31212001211201221212212220120
43031301212030030333200
53323140222141012113
650024100331440240
72656430613464325
oct315614614147740
955054657785816
1014140746813408
114562069a22796
1217046a35b6080
137b760b466167
1436c5b6d3cb4c
15197c7748ca23
hexcdc6630cfe0

14140746813408 has 48 divisors (see below), whose sum is σ = 37982703661056. Its totient is φ = 4603964077440.

The previous prime is 14140746813317. The next prime is 14140746813449. The reversal of 14140746813408 is 80431864704141.

14140746813408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712780128 + ... + 1712788383.

It is an arithmetic number, because the mean of its divisors is an integer number (791306326272).

Almost surely, 214140746813408 is an apocalyptic number.

It is an amenable number.

14140746813408 is an abundant number, since it is smaller than the sum of its proper divisors (23841956847648).

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

14140746813408 is a wasteful number, since it uses less digits than its factorization.

14140746813408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425568567 (or 3425568559 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14140746813408 in words is "fourteen trillion, one hundred forty billion, seven hundred forty-six million, eight hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 3425568511 6851137022 10276705533 13702274044 20553411066 27404548088 41106822132 54809096176 82213644264 109618192352 147299445973 164427288528 294598891946 328854577056 441898337919 589197783892 883796675838 1178395567784 1767593351676 2356791135568 3535186703352 4713582271136 7070373406704 14140746813408