Search a number
-
+
131344345303044 = 223236718671380417
BaseRepresentation
bin11101110111010011111101…
…000010111000100000000100
3122020001101201020212112200020
4131313103331002320200010
5114203421204344144134
61143202431555215140
736444213214223016
oct3567237502704004
9566041636775606
10131344345303044
11389399078689a5
12128934b75a74b0
135839945a538c3
1424611590721b6
15102b87b6d7b49
hex7774fd0b8804

131344345303044 has 96 divisors (see below), whose sum is σ = 324586223087616. Its totient is φ = 41250545909760.

The previous prime is 131344345303019. The next prime is 131344345303057. The reversal of 131344345303044 is 440303543443131.

It is a junction number, because it is equal to n+sod(n) for n = 131344345302987 and 131344345303005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345073924 + ... + 345454340.

It is an arithmetic number, because the mean of its divisors is an integer number (3381106490496).

Almost surely, 2131344345303044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344345303044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162293111543808).

131344345303044 is an abundant number, since it is smaller than the sum of its proper divisors (193241877784572).

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

131344345303044 is a wasteful number, since it uses less digits than its factorization.

131344345303044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399185 (or 399183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 131344345303044 its reverse (440303543443131), we get a palindrome (571647888746175).

The spelling of 131344345303044 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred forty-five million, three hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 3082 4623 6164 9246 18492 18671 37342 56013 74684 112026 224052 380417 429433 760834 858866 1141251 1250957 1288299 1521668 1717732 2282502 2501914 2576598 3752871 4565004 5003828 5153196 7505742 8749591 15011484 17499182 25487939 26248773 28772011 34998364 50975878 52497546 57544022 76463817 86316033 101951756 104995092 115088044 152927634 172632066 305855268 345264132 586222597 1172445194 1758667791 2344890388 3517335582 7034671164 7102765807 14205531614 21308297421 28411063228 42616594842 85233189684 163363613561 326727227122 475885309069 490090840683 653454454244 951770618138 980181681366 1427655927207 1903541236276 1960363362732 2855311854414 5710623708828 10945362108587 21890724217174 32836086325761 43781448434348 65672172651522 131344345303044