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11014014144 = 26378194951
BaseRepresentation
bin10100100000111110…
…01000010011000000
31001102120210220000210
422100133020103000
5140024041423034
65020524314120
7536636401260
oct122037102300
931376726023
1011014014144
11474213a931
1221746a2940
131066ac3343
14766abb7a0
15446e0b8e9
hex2907c84c0

11014014144 has 56 divisors (see below), whose sum is σ = 33304284928. Its totient is φ = 3146860800.

The previous prime is 11014014133. The next prime is 11014014161. The reversal of 11014014144 is 44141041011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11014014144.

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, 4096132 + ... + 4098819.

Almost surely, 211014014144 is an apocalyptic number.

11014014144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11014014144 is an abundant number, since it is smaller than the sum of its proper divisors (22290270784).

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

11014014144 is an equidigital number, since it uses as much as digits as its factorization.

11014014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194973 (or 8194963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11014014144 its reverse (44141041011), we get a palindrome (55155055155).

The spelling of 11014014144 in words is "eleven billion, fourteen million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8194951 16389902 24584853 32779804 49169706 57364657 65559608 98339412 114729314 131119216 172093971 196678824 229458628 262238432 344187942 393357648 458917256 524476864 688375884 786715296 917834512 1376751768 1573430592 1835669024 2753503536 3671338048 5507007072 11014014144