Search a number
-
+
1114320144 = 243712972557
BaseRepresentation
bin100001001101011…
…0010110100010000
32212122210022212110
41002122302310100
54240231221034
6302323425320
736420364530
oct10232626420
92778708773
101114320144
11522006243
12271225240
13149b25a42
14a7dc94c0
1567c63de9
hex426b2d10

1114320144 has 80 divisors (see below), whose sum is σ = 3293721728. Its totient is φ = 318007296.

The previous prime is 1114320143. The next prime is 1114320187. The reversal of 1114320144 is 4410234111.

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 1114320144.

It is not an unprimeable number, because it can be changed into a prime (1114320143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434514 + ... + 437070.

Almost surely, 21114320144 is an apocalyptic number.

1114320144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1114320144 is an abundant number, since it is smaller than the sum of its proper divisors (2179401584).

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

1114320144 is a wasteful number, since it uses less digits than its factorization.

1114320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1114320144 is about 33381.4341213795. The cubic root of 1114320144 is about 1036.7403313807.

Adding to 1114320144 its reverse (4410234111), we get a palindrome (5524554255).

The spelling of 1114320144 in words is "one billion, one hundred fourteen million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1297 2557 2594 3891 5114 5188 7671 7782 9079 10228 10376 15342 15564 17899 18158 20456 20752 27237 30684 31128 35798 36316 40912 53697 54474 61368 62256 71596 72632 107394 108948 122736 143192 145264 214788 217896 286384 429576 435792 859152 3316429 6632858 9949287 13265716 19898574 23215003 26531432 39797148 46430006 53062864 69645009 79594296 92860012 139290018 159188592 185720024 278580036 371440048 557160072 1114320144