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1045254514120 = 235192365391573
BaseRepresentation
bin11110011010111100000…
…01100010010111001000
310200220222120202221021121
433031132001202113020
5114111140123422440
62120103331445024
7135342244526665
oct17153601422710
93626876687247
101045254514120
11373320a18193
1214a6b1756774
137774ab3cc4b
143883a808a6c
151c2c96cb34a
hexf35e0625c8

1045254514120 has 128 divisors (see below), whose sum is σ = 2587221907200. Its totient is φ = 378290525184.

The previous prime is 1045254514091. The next prime is 1045254514133. The reversal of 1045254514120 is 214154525401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11368654 + ... + 11460226.

It is an arithmetic number, because the mean of its divisors is an integer number (20212671150).

Almost surely, 21045254514120 is an apocalyptic number.

1045254514120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045254514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293610953600).

1045254514120 is an abundant number, since it is smaller than the sum of its proper divisors (1541967393080).

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

1045254514120 is a wasteful number, since it uses less digits than its factorization.

1045254514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92279 (or 92275 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 1045254514120 in words is "one trillion, forty-five billion, two hundred fifty-four million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 653 760 874 920 1306 1748 2185 2612 3265 3496 4370 5224 6530 8740 12407 13060 15019 17480 24814 26120 30038 49628 60076 62035 75095 91573 99256 120152 124070 150190 183146 248140 285361 300380 366292 457865 496280 570722 600760 732584 915730 1141444 1426805 1739887 1831460 2106179 2282888 2853610 3479774 3662920 4212358 5707220 6959548 8424716 8699435 10530895 11414440 13919096 16849432 17398870 21061790 34797740 40017401 42123580 59797169 69595480 80034802 84247160 119594338 160069604 200087005 239188676 298985845 320139208 400174010 478377352 597971690 800348020 1136146211 1195943380 1375334887 1600696040 2272292422 2391886760 2750669774 4544584844 5501339548 5680731055 6876674435 9089169688 11002679096 11361462110 13753348870 22722924220 26131362853 27506697740 45445848440 52262725706 55013395480 104525451412 130656814265 209050902824 261313628530 522627257060 1045254514120