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1003440111368 = 231728322512
BaseRepresentation
bin11101001101000011011…
…00001111111100001000
310112221001110121012010012
432212201230033330020
5112420021132030433
62044550220011052
7132332116134152
oct16464154177410
93487043535105
101003440111368
11357613868542
12142582090a88
1373815bc6ab6
14367d1295ad2
151b17d793848
hexe9a1b0ff08

1003440111368 has 108 divisors (see below), whose sum is σ = 2031095893245. Its totient is φ = 464659232000.

The previous prime is 1003440111281. The next prime is 1003440111371. The reversal of 1003440111368 is 8631110443001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1003440111368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 918373389124 + 85066722244 = 958318^2 + 291662^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=708322.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3997769243 + ... + 3997769493.

Almost surely, 21003440111368 is an apocalyptic number.

It is an amenable number.

1003440111368 is an abundant number, since it is smaller than the sum of its proper divisors (1027655781877).

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

1003440111368 is an frugal number, since it uses more digits than its factorization.

1003440111368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Multiplying 1003440111368 by its sum of digits (32), we get a square (32110083563776 = 56665762).

Adding to 1003440111368 its reverse (8631110443001), we get a palindrome (9634550554369).

The spelling of 1003440111368 in words is "one trillion, three billion, four hundred forty million, one hundred eleven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 83 136 166 251 289 332 502 578 664 1004 1156 1411 2008 2312 2822 4267 5644 6889 8534 11288 13778 17068 20833 23987 27556 34136 41666 47974 55112 63001 72539 83332 95948 117113 126002 145078 166664 191896 234226 252004 290156 354161 468452 504008 580312 708322 936904 1071017 1416644 1729139 1990921 2142034 2833288 3458278 3981842 4284068 5229083 6020737 6916556 7963684 8568136 10458166 12041474 13833112 15927368 18207289 20916332 24082948 29395363 36414578 41832664 48165896 58790726 72829156 88894411 117581452 145658312 177788822 235162904 355577644 434013889 499721171 711155288 868027778 999442342 1511204987 1736055556 1998884684 3022409974 3472111112 3997769368 6044819948 7378236113 12089639896 14756472226 29512944452 59025888904 125430013921 250860027842 501720055684 1003440111368