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131445105440 = 2551174684719
BaseRepresentation
bin111101001101010111…
…1010010001100100000
3110120021122011012121112
41322122233102030200
54123144421333230
6140215100442452
712332221650515
oct1723257221440
9416248135545
10131445105440
1150822376250
1221584849428
13c51a3b68cc
14650d39d30c
153644b67d95
hex1e9abd2320

131445105440 has 48 divisors (see below), whose sum is σ = 338769889920. Its totient is φ = 47798219520.

The previous prime is 131445105439. The next prime is 131445105461. The reversal of 131445105440 is 44501544131.

It is a super-3 number, since 3×1314451054403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131445105397 and 131445105406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37340600 + ... + 37344119.

It is an arithmetic number, because the mean of its divisors is an integer number (7057706040).

Almost surely, 2131445105440 is an apocalyptic number.

131445105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131445105440 is an abundant number, since it is smaller than the sum of its proper divisors (207324784480).

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

131445105440 is a wasteful number, since it uses less digits than its factorization.

131445105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74684745 (or 74684737 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 131445105440 its reverse (44501544131), we get a palindrome (175946649571).

The spelling of 131445105440 in words is "one hundred thirty-one billion, four hundred forty-five million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 74684719 149369438 298738876 373423595 597477752 746847190 821531909 1194955504 1493694380 1643063818 2389911008 2987388760 3286127636 4107659545 5974777520 6572255272 8215319090 11949555040 13144510544 16430638180 26289021088 32861276360 65722552720 131445105440