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1406130262520 = 235476531145393
BaseRepresentation
bin10100011101100011111…
…001010001000111111000
311222102110122011101201212
4110131203321101013320
5141014223321400040
62553544535302252
7203406135011354
oct24354371210770
94872418141655
101406130262520
114a237796a255
121a862621a988
13a279c980a49
144c0b2846464
152689b428d65
hex14763e511f8

1406130262520 has 64 divisors (see below), whose sum is σ = 3236058760320. Its totient is φ = 549641549824.

The previous prime is 1406130262483. The next prime is 1406130262553. The reversal of 1406130262520 is 252620316041.

It is a super-3 number, since 3×14061302625203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654944 + ... + 1800336.

It is an arithmetic number, because the mean of its divisors is an integer number (50563418130).

Almost surely, 21406130262520 is an apocalyptic number.

1406130262520 is a gapful number since it is divisible by the number (10) 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 1406130262520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618029380160).

1406130262520 is an abundant number, since it is smaller than the sum of its proper divisors (1829928497800).

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

1406130262520 is a wasteful number, since it uses less digits than its factorization.

1406130262520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146104 (or 1146100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1406130262520 its reverse (252620316041), we get a palindrome (1658750578561).

The spelling of 1406130262520 in words is "one trillion, four hundred six billion, one hundred thirty million, two hundred sixty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 653 940 1306 1880 2612 3265 5224 6530 13060 26120 30691 61382 122764 153455 245528 306910 613820 1145393 1227640 2290786 4581572 5726965 9163144 11453930 22907860 45815720 53833471 107666942 215333884 269167355 430667768 538334710 747941629 1076669420 1495883258 2153338840 2991766516 3739708145 5983533032 7479416290 14958832580 29917665160 35153256563 70306513126 140613026252 175766282815 281226052504 351532565630 703065131260 1406130262520