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14020141140 = 22325190140973
BaseRepresentation
bin11010000111010101…
…00110000001010100
31100012002100222000200
431003222212001110
5212203124004030
610235112140500
71004301143025
oct150352460124
940162328020
1014020141140
115a45005605
122873397730
131425841605
1497003ac4c
15570cb0d60
hex343aa6054

14020141140 has 72 divisors (see below), whose sum is σ = 42551171208. Its totient is φ = 3736646400.

The previous prime is 14020141063. The next prime is 14020141141. The reversal of 14020141140 is 4114102041.

14020141140 is a `hidden beast` number, since 14 + 0 + 201 + 411 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2166157764 + 11853983376 = 46542^2 + 108876^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020141141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321694 + ... + 362666.

It is an arithmetic number, because the mean of its divisors is an integer number (590988489).

Almost surely, 214020141140 is an apocalyptic number.

14020141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14020141140 is an abundant number, since it is smaller than the sum of its proper divisors (28531030068).

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

14020141140 is a wasteful number, since it uses less digits than its factorization.

14020141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42889 (or 42884 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14020141140 its reverse (4114102041), we get a palindrome (18134243181).

The spelling of 14020141140 in words is "fourteen billion, twenty million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1901 3802 5703 7604 9505 11406 17109 19010 22812 28515 34218 38020 40973 57030 68436 81946 85545 114060 122919 163892 171090 204865 245838 342180 368757 409730 491676 614595 737514 819460 1229190 1475028 1843785 2458380 3687570 7375140 77889673 155779346 233669019 311558692 389448365 467338038 701007057 778896730 934676076 1168345095 1402014114 1557793460 2336690190 2804028228 3505035285 4673380380 7010070570 14020141140