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141226257960 = 23325803948799
BaseRepresentation
bin1000001110000110111…
…1011010111000101000
3111111112022010020102200
42003201233122320220
54303212410223320
6144513424500200
713126501246254
oct2034157327050
9444468106380
10141226257960
11549915a4977
122345447a660
131041894b118
146b9a435264
153a186e7290
hex20e1bdae28

141226257960 has 96 divisors (see below), whose sum is σ = 459051840000. Its totient is φ = 37654879104.

The previous prime is 141226257959. The next prime is 141226257979. The reversal of 141226257960 is 69752622141.

141226257960 is a `hidden beast` number, since 1 + 4 + 12 + 2 + 6 + 2 + 579 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2869641 + ... + 2918439.

It is an arithmetic number, because the mean of its divisors is an integer number (4781790000).

Almost surely, 2141226257960 is an apocalyptic number.

141226257960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141226257960 is an abundant number, since it is smaller than the sum of its proper divisors (317825582040).

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

141226257960 is a wasteful number, since it uses less digits than its factorization.

141226257960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56855 (or 56848 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 141226257960 in words is "one hundred forty-one billion, two hundred twenty-six million, two hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8039 16078 24117 32156 40195 48234 48799 64312 72351 80390 96468 97598 120585 144702 146397 160780 192936 195196 241170 243995 289404 292794 321560 361755 390392 439191 482340 487990 578808 585588 723510 731985 878382 964680 975980 1171176 1447020 1463970 1756764 1951960 2195955 2894040 2927940 3513528 4391910 5855880 8783820 17567640 392295161 784590322 1176885483 1569180644 1961475805 2353770966 3138361288 3530656449 3922951610 4707541932 5884427415 7061312898 7845903220 9415083864 11768854830 14122625796 15691806440 17653282245 23537709660 28245251592 35306564490 47075419320 70613128980 141226257960