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3451534150140 = 22325232655731393
BaseRepresentation
bin110010001110011111011…
…101111000100111111100
3110012222000100102201102100
4302032133131320213330
5423022220220301030
611201340215225100
7504236143130556
oct62163735704774
913188010381370
103451534150140
1111108730568aa
12478b1b978190
131c062a9c91bb
14bd0ab45c4d6
155ebb0525360
hex3239f7789fc

3451534150140 has 144 divisors (see below), whose sum is σ = 10925615308608. Its totient is φ = 880330125312.

The previous prime is 3451534150139. The next prime is 3451534150219. The reversal of 3451534150140 is 410514351543.

3451534150140 is a `hidden beast` number, since 3 + 4 + 51 + 53 + 415 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3451534150095 and 3451534150104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109930284 + ... + 109961676.

It is an arithmetic number, because the mean of its divisors is an integer number (75872328532).

Almost surely, 23451534150140 is an apocalyptic number.

3451534150140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3451534150140 is an abundant number, since it is smaller than the sum of its proper divisors (7474081158468).

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

3451534150140 is a wasteful number, since it uses less digits than its factorization.

3451534150140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57988 (or 57983 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 3451534150140 in words is "three trillion, four hundred fifty-one billion, five hundred thirty-four million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 26557 31393 53114 62786 79671 94179 106228 125572 132785 156965 159342 188358 239013 265570 282537 313930 318684 376716 398355 470895 478026 531140 565074 610811 627860 722039 796710 941790 956052 1130148 1195065 1221622 1412685 1444078 1593420 1832433 1883580 2166117 2390130 2443244 2825370 2888156 3054055 3610195 3664866 4332234 4780260 5497299 5650740 6108110 6498351 7220390 7329732 8664468 9162165 10830585 10994598 12216220 12996702 14440780 18324330 21661170 21989196 25993404 27486495 32491755 36648660 43322340 54972990 64983510 109945980 129967020 833703901 1667407802 2501111703 3334815604 4168519505 5002223406 7503335109 8337039010 10004446812 12505558515 15006670218 16674078020 19175189723 25011117030 30013340436 37516675545 38350379446 50022234060 57525569169 75033351090 76700758892 95875948615 115051138338 150066702180 172576707507 191751897230 230102276676 287627845845 345153415014 383503794460 575255691690 690306830028 862883537535 1150511383380 1725767075070 3451534150140