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45241400460 = 223519200319813
BaseRepresentation
bin101010001000100110…
…001111110010001100
311022202221200021020110
4222020212033302030
51220123244303320
632441132120020
73161060362464
oct521046176214
9138687607213
1045241400460
1118206655863
128927306010
13435cc32559
14229274aba4
15129bc245e0
hexa8898fc8c

45241400460 has 96 divisors (see below), whose sum is σ = 133416380160. Its totient is φ = 11423123712.

The previous prime is 45241400459. The next prime is 45241400473. The reversal of 45241400460 is 6400414254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273514 + ... + 2293326.

It is an arithmetic number, because the mean of its divisors is an integer number (1389753960).

Almost surely, 245241400460 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 45241400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66708190080).

45241400460 is an abundant number, since it is smaller than the sum of its proper divisors (88174979700).

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

45241400460 is a wasteful number, since it uses less digits than its factorization.

45241400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21845 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 45241400460 in words is "forty-five billion, two hundred forty-one million, four hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2003 4006 6009 8012 10015 12018 19813 20030 24036 30045 38057 39626 40060 59439 60090 76114 79252 99065 114171 118878 120180 152228 190285 198130 228342 237756 297195 376447 380570 396260 456684 570855 594390 752894 761140 1129341 1141710 1188780 1505788 1882235 2258682 2283420 3764470 4517364 5646705 7528940 11293410 22586820 39685439 79370878 119056317 158741756 198427195 238112634 396854390 476225268 595281585 754023341 793708780 1190563170 1508046682 2262070023 2381126340 3016093364 3770116705 4524140046 7540233410 9048280092 11310350115 15080466820 22620700230 45241400460