Search a number
-
+
1338332107070 = 25743538389219
BaseRepresentation
bin10011011110011010110…
…011110101000100111110
311201221110122222020202102
4103132122303311010332
5133411401004411240
62502453221425102
7165456055132520
oct23363263650476
94657418866672
101338332107070
11476646647622
1219746486b192
13992867624ba
1448ac042ba10
1524c2e29b815
hex1379acf513e

1338332107070 has 64 divisors (see below), whose sum is σ = 2870321287680. Its totient is φ = 439729250688.

The previous prime is 1338332107051. The next prime is 1338332107093. The reversal of 1338332107070 is 707012338331.

It is a super-2 number, since 2×13383321070702 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 4035080 + ... + 4354139.

It is an arithmetic number, because the mean of its divisors is an integer number (44848770120).

Almost surely, 21338332107070 is an apocalyptic number.

1338332107070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338332107070 is an abundant number, since it is smaller than the sum of its proper divisors (1531989180610).

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

1338332107070 is a wasteful number, since it uses less digits than its factorization.

1338332107070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389329.

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 1338332107070 in words is "one trillion, three hundred thirty-eight billion, three hundred thirty-two million, one hundred seven thousand, seventy".

Divisors: 1 2 5 7 10 14 35 43 53 70 86 106 215 265 301 371 430 530 602 742 1505 1855 2279 3010 3710 4558 11395 15953 22790 31906 79765 159530 8389219 16778438 41946095 58724533 83892190 117449066 293622665 360736417 444628607 587245330 721472834 889257214 1803682085 2223143035 2525154919 3112400249 3607364170 4446286070 5050309838 6224800498 12625774595 15562001245 19119030101 25251549190 31124002490 38238060202 95595150505 133833210707 191190301010 267666421414 669166053535 1338332107070