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1311201444 = 223719498009
BaseRepresentation
bin100111000100111…
…0101100010100100
310101101020221020110
41032021311202210
510141131421234
6334035333020
744331012510
oct11611654244
93341227213
101311201444
11613159063
12307151170
1317b85a657
14c61d9140
157a1a41e9
hex4e2758a4

1311201444 has 48 divisors (see below), whose sum is σ = 3498768000. Its totient is φ = 374390016.

The previous prime is 1311201431. The next prime is 1311201469. The reversal of 1311201444 is 4441021131.

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 1311201444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159712 + ... + 167720.

It is an arithmetic number, because the mean of its divisors is an integer number (72891000).

Almost surely, 21311201444 is an apocalyptic number.

1311201444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311201444 is an abundant number, since it is smaller than the sum of its proper divisors (2187566556).

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

1311201444 is a wasteful number, since it uses less digits than its factorization.

1311201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9970 counting only the distinct ones).

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

The square root of 1311201444 is about 36210.5156549862. The cubic root of 1311201444 is about 1094.5185832303.

Adding to 1311201444 its reverse (4441021131), we get a palindrome (5752222575).

The spelling of 1311201444 in words is "one billion, three hundred eleven million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1949 3898 5847 7796 8009 11694 13643 16018 23388 24027 27286 32036 40929 48054 54572 56063 81858 96108 112126 163716 168189 224252 336378 672756 15609541 31219082 46828623 62438164 93657246 109266787 187314492 218533574 327800361 437067148 655600722 1311201444