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131023002444444 = 2232111917414008831
BaseRepresentation
bin11101110010101000101011…
…100001001010001010011100
3122011220200021022120221222200
4131302220223201022022130
5114133140102111210234
61142355045242411500
736412046100050655
oct3562505341121234
9564820238527880
10131023002444444
11388255a8132090
1212841176500b90
1358155542876a6
14244d79356c52c
151023320453d99
hex772a2b84a29c

131023002444444 has 72 divisors (see below), whose sum is σ = 380321952890880. Its totient is φ = 37614259072800.

The previous prime is 131023002444437. The next prime is 131023002444457. The reversal of 131023002444444 is 444444200320131.

131023002444444 is a `hidden beast` number, since 1 + 3 + 102 + 300 + 244 + 4 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131023002444399 and 131023002444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8706996892 + ... + 8707011939.

Almost surely, 2131023002444444 is an apocalyptic number.

It is an amenable number.

131023002444444 is an abundant number, since it is smaller than the sum of its proper divisors (249298950446436).

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

131023002444444 is a wasteful number, since it uses less digits than its factorization.

131023002444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17414008871 (or 17414008866 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 131023002444444 its reverse (444444200320131), we get a palindrome (575467202764575).

The spelling of 131023002444444 in words is "one hundred thirty-one trillion, twenty-three billion, two million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 17414008831 34828017662 52242026493 69656035324 104484052986 156726079479 191554097141 208968105972 313452158958 330866167789 383108194282 574662291423 626904317916 661732335578 766216388564 992598503367 1149324582846 1323464671156 1723986874269 1985197006734 2298649165692 2977795510101 3447973748538 3639527845679 3970394013468 5955591020202 6895947497076 7279055691358 10918583537037 11911182040404 14558111382716 21837167074074 32755750611111 43674334148148 65511501222222 131023002444444