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1383361880112 = 2432131376919457
BaseRepresentation
bin10100001000010110110…
…010110010000000110000
311220020200212102201202100
4110020112302302000300
5140131111120130422
62535301354020400
7201641665652622
oct24102662620060
94806625381670
101383361880112
11493753798593
121a4131117700
13a05b1899214
144ad52a0ac12
1525eb761b7ac
hex14216cb2030

1383361880112 has 120 divisors (see below), whose sum is σ = 3902280885360. Its totient is φ = 457455697920.

The previous prime is 1383361880111. The next prime is 1383361880129. The reversal of 1383361880112 is 2110881633831.

It is a happy number.

1383361880112 is a `hidden beast` number, since 13 + 8 + 3 + 3 + 618 + 8 + 0 + 1 + 12 = 666.

It is a super-2 number, since 2×13833618801122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1383361880111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71088688 + ... + 71108144.

It is an arithmetic number, because the mean of its divisors is an integer number (32519007378).

Almost surely, 21383361880112 is an apocalyptic number.

1383361880112 is a gapful number since it is divisible by the number (12) 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 1383361880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951140442680).

1383361880112 is an abundant number, since it is smaller than the sum of its proper divisors (2518919005248).

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

1383361880112 is a wasteful number, since it uses less digits than its factorization.

1383361880112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23371 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1383361880112 in words is "one trillion, three hundred eighty-three billion, three hundred sixty-one million, eight hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 3769 4716 6288 7538 9432 11307 15076 18864 19457 22614 30152 33921 38914 45228 58371 60304 67842 77828 90456 116742 135684 155656 175113 180912 233484 271368 311312 350226 466968 493739 542736 700452 933936 987478 1400904 1481217 1974956 2548867 2801808 2962434 3949912 4443651 5097734 5924868 7646601 7899824 8887302 10195468 11849736 15293202 17774604 20390936 22939803 23699472 30586404 35549208 40781872 45879606 61172808 71098416 73333433 91759212 122345616 146666866 183518424 220000299 293333732 367036848 440000598 586667464 660000897 880001196 1173334928 1320001794 1760002392 2640003588 3520004784 5280007176 9606679723 10560014352 19213359446 28820039169 38426718892 57640078338 76853437784 86460117507 115280156676 153706875568 172920235014 230560313352 345840470028 461120626704 691680940056 1383361880112