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131418914484 = 223111388186929
BaseRepresentation
bin111101001100100101…
…1010111111010110100
3110120012210212120101010
41322121023113322310
54123121220230414
6140212323232220
712331453225164
oct1723113277264
9416183776333
10131418914484
1150809607630
1221577b18670
13c514b465c0
146509b025a4
1536426e2959
hex1e992d7eb4

131418914484 has 96 divisors (see below), whose sum is σ = 360666311040. Its totient is φ = 36718387200.

The previous prime is 131418914453. The next prime is 131418914491. The reversal of 131418914484 is 484419814131.

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, 1468332 + ... + 1555260.

It is an arithmetic number, because the mean of its divisors is an integer number (3756940740).

Almost surely, 2131418914484 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 131418914484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180333155520).

131418914484 is an abundant number, since it is smaller than the sum of its proper divisors (229247396556).

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

131418914484 is a wasteful number, since it uses less digits than its factorization.

131418914484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87841 (or 87839 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 131418914484 in words is "one hundred thirty-one billion, four hundred eighteen million, nine hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 881 1716 1762 2643 3524 5286 9691 10572 11453 19382 22906 29073 34359 38764 45812 58146 68718 86929 116292 125983 137436 173858 251966 260787 347716 377949 503932 521574 755898 956219 1043148 1130077 1511796 1912438 2260154 2868657 3390231 3824876 4520308 5737314 6780462 11474628 12430847 13560924 24861694 37292541 49723388 74585082 76584449 149170164 153168898 229753347 306337796 459506694 842428939 919013388 995597837 1684857878 1991195674 2527286817 2986793511 3369715756 3982391348 5054573634 5973587022 10109147268 10951576207 11947174044 21903152414 32854728621 43806304828 65709457242 131418914484