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14013315435040 = 255444119721509
BaseRepresentation
bin1100101111101011101010…
…1100000100101000100000
31211121122211001021010202021
43023322322230010220200
53314043232222410130
645445343411031224
72644300006601635
oct313727254045040
954548731233667
1014013315435040
114513017267059
1216a3a5ab9b514
137a85b07990ac
14366368a6818c
151947b9dac37a
hexcbebab04a20

14013315435040 has 48 divisors (see below), whose sum is σ = 33113914124760. Its totient is φ = 5604063713280.

The previous prime is 14013315435029. The next prime is 14013315435061. The reversal of 14013315435040 is 4053451331041.

It can be written as a sum of positive squares in 4 ways, for example, as 7034440671504 + 6978874763536 = 2652252^2 + 2641756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14013315434987 and 14013315435005.

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, 9150195 + ... + 10571314.

Almost surely, 214013315435040 is an apocalyptic number.

14013315435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013315435040 is an abundant number, since it is smaller than the sum of its proper divisors (19100598689720).

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

14013315435040 is a wasteful number, since it uses less digits than its factorization.

14013315435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19725965 (or 19725957 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 14013315435040 its reverse (4053451331041), we get a palindrome (18066766766081).

The spelling of 14013315435040 in words is "fourteen trillion, thirteen billion, three hundred fifteen million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4441 8882 17764 22205 35528 44410 71056 88820 142112 177640 355280 710560 19721509 39443018 78886036 98607545 157772072 197215090 315544144 394430180 631088288 788860360 1577720720 3155441440 87583221469 175166442938 350332885876 437916107345 700665771752 875832214690 1401331543504 1751664429380 2802663087008 3503328858760 7006657717520 14013315435040