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141550431066 = 23511113234317
BaseRepresentation
bin1000001111010100010…
…0000010101101011010
3111112100220002221100000
42003311010002231122
54304343402243231
6145005524553430
713140515545332
oct2036504025532
9445326087300
10141550431066
1155038589a30
1223524b52876
131046ab60925
146bcb4dc0c2
153a36dcd6e6
hex20f5102b5a

141550431066 has 96 divisors (see below), whose sum is σ = 350037350208. Its totient is φ = 42514295040.

The previous prime is 141550430981. The next prime is 141550431083. The reversal of 141550431066 is 660134055141.

141550431066 is a `hidden beast` number, since 1 + 4 + 1 + 550 + 43 + 1 + 0 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141550431066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486940 + ... + 721256.

It is an arithmetic number, because the mean of its divisors is an integer number (3646222398).

Almost surely, 2141550431066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141550431066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175018675104).

141550431066 is an abundant number, since it is smaller than the sum of its proper divisors (208486919142).

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

141550431066 is a wasteful number, since it uses less digits than its factorization.

141550431066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234458 (or 234446 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 141550431066 in words is "one hundred forty-one billion, five hundred fifty million, four hundred thirty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 113 162 198 226 243 297 339 486 594 678 891 1017 1243 1782 2034 2486 2673 3051 3729 5346 6102 7458 9153 11187 18306 22374 27459 33561 54918 67122 100683 201366 234317 302049 468634 604098 702951 1405902 2108853 2577487 4217706 5154974 6326559 7732461 12653118 15464922 18979677 23197383 26477821 37959354 46394766 52955642 56939031 69592149 79433463 113878062 139184298 158866926 208776447 238300389 291256031 417552894 476600778 582512062 626329341 714901167 873768093 1252658682 1429802334 1747536186 2144703501 2621304279 4289407002 5242608558 6434110503 7863912837 12868221006 15727825674 23591738511 47183477022 70775215533 141550431066