Search a number
-
+
14011140576 = 253413559741
BaseRepresentation
bin11010000110010000…
…10000100111100000
31100011110102200120110
431003020100213200
5212143322444301
610234151211320
71004131505226
oct150310204740
940143380513
1014011140576
115a3aa18324
122870376b40
131423a0c934
1496cb76b16
155700d40d6
hex3432109e0

14011140576 has 48 divisors (see below), whose sum is σ = 37676309328. Its totient is φ = 4556467200.

The previous prime is 14011140571. The next prime is 14011140613. The reversal of 14011140576 is 67504111041.

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

It is a super-2 number, since 2×140111405762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011140571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775935 + ... + 1783806.

It is an arithmetic number, because the mean of its divisors is an integer number (784923111).

Almost surely, 214011140576 is an apocalyptic number.

14011140576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14011140576 is an abundant number, since it is smaller than the sum of its proper divisors (23665168752).

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

14011140576 is a wasteful number, since it uses less digits than its factorization.

14011140576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559795 (or 3559787 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 14011140576 in words is "fourteen billion, eleven million, one hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 3559741 7119482 10679223 14238964 21358446 28477928 42716892 56955856 85433784 113911712 145949381 170867568 291898762 341735136 437848143 583797524 875696286 1167595048 1751392572 2335190096 3502785144 4670380192 7005570288 14011140576