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1242131044 = 2271117613889
BaseRepresentation
bin100101000001001…
…0110101001100100
310012120021210110111
41022002112221210
510020441143134
6323131102404
742531640210
oct11202265144
93176253414
101242131044
11588172490
122a7ba1a04
1316a455cab
14bad79940
15740adc64
hex4a096a64

1242131044 has 96 divisors (see below), whose sum is σ = 2917313280. Its totient is φ = 447897600.

The previous prime is 1242131017. The next prime is 1242131053. The reversal of 1242131044 is 4401312421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317452 + ... + 321340.

It is an arithmetic number, because the mean of its divisors is an integer number (30388680).

Almost surely, 21242131044 is an apocalyptic number.

1242131044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458656640).

1242131044 is an abundant number, since it is smaller than the sum of its proper divisors (1675182236).

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

1242131044 is a wasteful number, since it uses less digits than its factorization.

1242131044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1242131044 is about 35243.8795253871. The cubic root of 1242131044 is about 1074.9521648807.

Adding to 1242131044 its reverse (4401312421), we get a palindrome (5643443465).

The spelling of 1242131044 in words is "one billion, two hundred forty-two million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 61 68 77 119 122 154 187 238 244 308 374 427 476 671 748 854 1037 1309 1342 1708 2074 2618 2684 3889 4148 4697 5236 7259 7778 9394 11407 14518 15556 18788 22814 27223 29036 42779 45628 54446 66113 79849 85558 108892 132226 159698 171116 237229 264452 299453 319396 462791 474458 598906 727243 925582 948916 1197812 1454486 1660603 1851164 2609519 2908972 3321206 4032893 5090701 5219038 6642412 8065786 10181402 10438076 16131572 18266633 20362804 28230251 36533266 44361823 56460502 73066532 88723646 112921004 177447292 310532761 621065522 1242131044