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45228141270960 = 2435444142434269
BaseRepresentation
bin10100100100010011111110…
…10010110101011110110000
312221010202201221002111200220
422102021333102311132300
521412004213131132320
6240105304332013040
712345424334442504
oct1222117722653660
9187122657074626
1045228141270960
111345816871a15a
1250a5625001180
131c30cc2c2c5cb
14b250a7588304
1553674b231e40
hex29227f4b57b0

45228141270960 has 80 divisors (see below), whose sum is σ = 140238812340960. Its totient is φ = 12058121594880.

The previous prime is 45228141270919. The next prime is 45228141270997. The reversal of 45228141270960 is 6907214182254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20151295 + ... + 22282974.

It is an arithmetic number, because the mean of its divisors is an integer number (1752985154262).

Almost surely, 245228141270960 is an apocalyptic number.

45228141270960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45228141270960 is an abundant number, since it is smaller than the sum of its proper divisors (95010671070000).

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

45228141270960 is a wasteful number, since it uses less digits than its factorization.

45228141270960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42438726 (or 42438720 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 45228141270960 in words is "forty-five trillion, two hundred twenty-eight billion, one hundred forty-one million, two hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4441 8882 13323 17764 22205 26646 35528 44410 53292 66615 71056 88820 106584 133230 177640 213168 266460 355280 532920 1065840 42434269 84868538 127302807 169737076 212171345 254605614 339474152 424342690 509211228 636514035 678948304 848685380 1018422456 1273028070 1697370760 2036844912 2546056140 3394741520 5092112280 10184224560 188450588629 376901177258 565351765887 753802354516 942252943145 1130703531774 1507604709032 1884505886290 2261407063548 2826758829435 3015209418064 3769011772580 4522814127096 5653517658870 7538023545160 9045628254192 11307035317740 15076047090320 22614070635480 45228141270960