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2036425135140 = 22325112394303337
BaseRepresentation
bin11101101000100100011…
…001011001010000100100
321012200100222011102210100
4131220210121121100210
5231331044313311030
64155304254024100
7300061341021234
oct35504431312044
97180328142710
102036425135140
11715708998a60
1228a80a7a8030
1311a059ac7386
14707c6371cc4
1537e8ac1a360
hex1da24659424

2036425135140 has 144 divisors (see below), whose sum is σ = 6766912938240. Its totient is φ = 491613104640.

The previous prime is 2036425135133. The next prime is 2036425135153. The reversal of 2036425135140 is 415315246302.

2036425135140 is a `hidden beast` number, since 2 + 0 + 3 + 642 + 5 + 1 + 3 + 5 + 1 + 4 + 0 = 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 = 2036425135095 and 2036425135104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678449 + ... + 2624888.

It is an arithmetic number, because the mean of its divisors is an integer number (46992450960).

Almost surely, 22036425135140 is an apocalyptic number.

2036425135140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2036425135140 is an abundant number, since it is smaller than the sum of its proper divisors (4730487803100).

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

2036425135140 is a wasteful number, since it uses less digits than its factorization.

2036425135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303602 (or 4303597 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2036425135140 in words is "two trillion, thirty-six billion, four hundred twenty-five million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 239 330 396 478 495 660 717 956 990 1195 1434 1980 2151 2390 2629 2868 3585 4302 4780 5258 7170 7887 8604 10516 10755 13145 14340 15774 21510 23661 26290 31548 39435 43020 47322 52580 78870 94644 118305 157740 236610 473220 4303337 8606674 12910011 17213348 21516685 25820022 38730033 43033370 47336707 51640044 64550055 77460066 86066740 94673414 129100110 142010121 154920132 189346828 193650165 236683535 258200220 284020242 387300330 426030363 473367070 568040484 710050605 774600660 852060726 946734140 1028497543 1420101210 1704121452 2056995086 2130151815 2840202420 3085492629 4113990172 4260303630 5142487715 6170985258 8520607260 9256477887 10284975430 11313472973 12341970516 15427463145 18512955774 20569950860 22626945946 30854926290 33940418919 37025911548 45253891892 46282389435 56567364865 61709852580 67880837838 92564778870 101821256757 113134729730 135761675676 169702094595 185129557740 203642513514 226269459460 339404189190 407285027028 509106283785 678808378380 1018212567570 2036425135140