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131440741744 = 241319211157627
BaseRepresentation
bin111101001101001111…
…0101000110101110000
3110120021022221111202011
41322122132220311300
54123142312213434
6140214423132304
712332136604414
oct1723236506560
9416238844664
10131440741744
115081a965794
12215832a4094
13c519519640
14650c984d44
1536445a4e64
hex1e9a7a8d70

131440741744 has 80 divisors (see below), whose sum is σ = 290060740480. Its totient is φ = 57199322880.

The previous prime is 131440741699. The next prime is 131440741753. The reversal of 131440741744 is 447147044131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131440741697 and 131440741706.

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, 755059 + ... + 912685.

It is an arithmetic number, because the mean of its divisors is an integer number (3625759256).

Almost surely, 2131440741744 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 131440741744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145030370240).

131440741744 is an abundant number, since it is smaller than the sum of its proper divisors (158619998736).

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

131440741744 is a wasteful number, since it uses less digits than its factorization.

131440741744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157878 (or 157872 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

Adding to 131440741744 its reverse (447147044131), we get a palindrome (578587785875).

The spelling of 131440741744 in words is "one hundred thirty-one billion, four hundred forty million, seven hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 211 247 304 422 494 844 988 1688 1976 2743 3376 3952 4009 5486 8018 10972 16036 21944 32072 43888 52117 64144 104234 157627 208468 315254 416936 630508 833872 1261016 2049151 2522032 2994913 4098302 5989826 8196604 11979652 16393208 23959304 32786416 33259297 38933869 47918608 66518594 77867738 133037188 155735476 266074376 311470952 432370861 532148752 622941904 631926643 864741722 1263853286 1729483444 2527706572 3458966888 5055413144 6917933776 8215046359 10110826288 16430092718 32860185436 65720370872 131440741744