Search a number
-
+
1310031440154 = 2321967355716073
BaseRepresentation
bin10011000100000011111…
…101010110100100011010
311122020102100021102010200
4103010003331112210122
5132430421022041104
62441453052123030
7163434541340523
oct23040375264432
94566370242120
101310031440154
114656436606a8
12191a86a66476
13966c6472248
144759797384a
1524124943b39
hex13103f5691a

1310031440154 has 96 divisors (see below), whose sum is σ = 3033426127680. Its totient is φ = 407379684096.

The previous prime is 1310031440129. The next prime is 1310031440209. The reversal of 1310031440154 is 4510441300131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81497062 + ... + 81513134.

It is an arithmetic number, because the mean of its divisors is an integer number (31598188830).

Almost surely, 21310031440154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310031440154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516713063840).

1310031440154 is an abundant number, since it is smaller than the sum of its proper divisors (1723394687526).

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

1310031440154 is a wasteful number, since it uses less digits than its factorization.

1310031440154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1310031440154 its reverse (4510441300131), we get a palindrome (5820472740285).

The spelling of 1310031440154 in words is "one trillion, three hundred ten billion, thirty-one million, four hundred forty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 402 603 1206 1273 2546 3557 3819 7114 7638 10671 11457 16073 21342 22914 32013 32146 48219 64026 67583 96438 135166 144657 202749 238319 289314 305387 405498 476638 608247 610774 714957 916161 1076891 1216494 1429914 1832322 2144871 2153782 2748483 3230673 4289742 4528061 5496966 6461346 9056122 9692019 13584183 19384038 20460929 27168366 40752549 40921858 57171661 61382787 81505098 114343322 122765574 171514983 184148361 343029966 368296722 514544949 1029089898 1086261559 2172523118 3258784677 3830501287 6517569354 7661002574 9776354031 11491503861 19552708062 22983007722 34474511583 68949023166 72779524453 145559048906 218338573359 436677146718 655015720077 1310031440154