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1332101234044 = 227538943323293
BaseRepresentation
bin10011011000100111011…
…010111011110101111100
311201100101102111002211101
4103120213122323311330
5133311120403442134
62455543040302444
7165145465444120
oct23304732736574
94640342432741
101332101234044
11473a39467489
12196206011a24
13988028bcc99
144868cac1580
15249b725be14
hex136276bbd7c

1332101234044 has 96 divisors (see below), whose sum is σ = 2751427647360. Its totient is φ = 552532451328.

The previous prime is 1332101234039. The next prime is 1332101234047. The reversal of 1332101234044 is 4404321012331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332101234047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57177262 + ... + 57200554.

It is an arithmetic number, because the mean of its divisors is an integer number (28660704660).

Almost surely, 21332101234044 is an apocalyptic number.

1332101234044 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 1332101234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375713823680).

1332101234044 is an abundant number, since it is smaller than the sum of its proper divisors (1419326413316).

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

1332101234044 is a wasteful number, since it uses less digits than its factorization.

1332101234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879 (or 23877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1332101234044 its reverse (4404321012331), we get a palindrome (5736422246375).

The spelling of 1332101234044 in words is "one trillion, three hundred thirty-two billion, one hundred one million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 53 89 106 178 212 356 371 433 623 742 866 1246 1484 1732 2492 3031 4717 6062 9434 12124 18868 22949 23293 33019 38537 45898 46586 66038 77074 91796 93172 132076 154148 160643 163051 269759 321286 326102 539518 642572 652204 1079036 1234529 2042461 2073077 2469058 4084922 4146154 4938116 8169844 8292308 8641703 10085869 14297227 14511539 17283406 20171738 28594454 29023078 34566812 40343476 57188908 58046156 70601083 109873081 141202166 219746162 282404332 439492324 534551057 769111567 897642341 1069102114 1538223134 1795284682 2138204228 3076446268 3590569364 3741857399 6283496387 7483714798 12566992774 14967429596 25133985548 47575044073 95150088146 190300176292 333025308511 666050617022 1332101234044