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141027245434140 = 223513191946618643
BaseRepresentation
bin100000000100001101110110…
…110111100010010100011100
3200111100001222012202102110120
4200010031312313202110130
5121441042244312343030
61215535004441434540
741463611416305522
oct4004156667422434
9614301865672416
10141027245434140
1140a3235652505a
121399803719ba50
13608ca734911b0
1426b7a7ddc4312
151148697b19010
hex804376de251c

141027245434140 has 96 divisors (see below), whose sum is σ = 427477833732096. Its totient is φ = 34532648060160.

The previous prime is 141027245434111. The next prime is 141027245434199. The reversal of 141027245434140 is 41434542720141.

It is a super-2 number, since 2×1410272454341402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141027245434092 and 141027245434101.

It is a congruent number.

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, 473160342 + ... + 473458301.

It is an arithmetic number, because the mean of its divisors is an integer number (4452894101376).

Almost surely, 2141027245434140 is an apocalyptic number.

141027245434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141027245434140 is an abundant number, since it is smaller than the sum of its proper divisors (286450588297956).

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

141027245434140 is a wasteful number, since it uses less digits than its factorization.

141027245434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946618859 (or 946618857 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 141027245434140 in words is "one hundred forty-one trillion, twenty-seven billion, two hundred forty-five million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 7449 9932 11460 12415 14898 24830 29796 37245 49660 74490 148980 946618643 1893237286 2839855929 3786474572 4733093215 5679711858 9466186430 11359423716 12306042359 14199279645 18932372860 24612084718 28398559290 36918127077 49224169436 56797118580 61530211795 73836254154 123060423590 147672508308 180804160813 184590635385 246120847180 361608321626 369181270770 542412482439 723216643252 738362541540 904020804065 1084824964878 1808041608130 2169649929756 2350454090569 2712062412195 3616083216260 4700908181138 5424124824390 7051362271707 9401816362276 10848249648780 11752270452845 14102724543414 23504540905690 28205449086828 35256811358535 47009081811380 70513622717070 141027245434140