Search a number
-
+
131120155503544 = 231929141551210143
BaseRepresentation
bin11101110100000011001010…
…010010101010101110111000
3122012020222001002012201111211
4131310003022102222232320
5114141233034302103134
61142511433505532504
736422055454324144
oct3564031222525670
9565228032181454
10131120155503544
1138862822539369
1212857b6a944134
135821768012ccc
14245436c46a224
151025b09780764
hex7740ca4aabb8

131120155503544 has 64 divisors (see below), whose sum is σ = 267716731392000. Its totient is φ = 59967129801600.

The previous prime is 131120155503511. The next prime is 131120155503551. The reversal of 131120155503544 is 445305551021131.

It is a junction number, because it is equal to n+sod(n) for n = 131120155503497 and 131120155503506.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 623851737 + ... + 624061879.

It is an arithmetic number, because the mean of its divisors is an integer number (4183073928000).

Almost surely, 2131120155503544 is an apocalyptic number.

It is an amenable number.

131120155503544 is an abundant number, since it is smaller than the sum of its proper divisors (136596575888456).

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

131120155503544 is a wasteful number, since it uses less digits than its factorization.

131120155503544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351748 (or 351744 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 131120155503544 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred fifty-five million, five hundred three thousand, five hundred forty-four".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 551 1102 2204 4408 141551 210143 283102 420286 566204 840572 1132408 1681144 2689469 3992717 4104979 5378938 6094147 7985434 8209958 10757876 12188294 15970868 16419916 21515752 24376588 31941736 32839832 48753176 77994601 115788793 155989202 231577586 311978404 463155172 623956808 926310344 29745951793 59491903586 118983807172 237967614344 565173084067 862632601997 1130346168134 1725265203994 2260692336268 3450530407988 4521384672536 6901060815976 16390019437943 32780038875886 65560077751772 131120155503544