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2540136134900 = 22527132631061353
BaseRepresentation
bin100100111101101011111…
…010010111100011110100
322222211112110021110200102
4210331223322113203310
5313104144322304100
65222531124533232
7351342640620110
oct44755372274364
98884473243612
102540136134900
1189a2a1699501
12350366551218
131556c2a1a6a0
148ad2c39a740
154611c538cd5
hex24f6be978f4

2540136134900 has 144 divisors (see below), whose sum is σ = 6809918970624. Its totient is φ = 800853765120.

The previous prime is 2540136134881. The next prime is 2540136134923. The reversal of 2540136134900 is 94316310452.

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, 1862624 + ... + 2923976.

Almost surely, 22540136134900 is an apocalyptic number.

2540136134900 is a gapful number since it is divisible by the number (20) 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 2540136134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404959485312).

2540136134900 is an abundant number, since it is smaller than the sum of its proper divisors (4269782835724).

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

2540136134900 is a wasteful number, since it uses less digits than its factorization.

2540136134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061650 (or 1061643 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 2540136134900 in words is "two trillion, five hundred forty billion, one hundred thirty-six million, one hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 263 325 350 364 455 526 650 700 910 1052 1300 1315 1820 1841 2275 2630 3419 3682 4550 5260 6575 6838 7364 9100 9205 13150 13676 17095 18410 23933 26300 34190 36820 46025 47866 68380 85475 92050 95732 119665 170950 184100 239330 341900 478660 598325 1061353 1196650 2122706 2393300 4245412 5306765 7429471 10613530 13797589 14858942 21227060 26533825 27595178 29717884 37147355 53067650 55190356 68987945 74294710 96583123 106135300 137975890 148589420 185736775 193166246 275951780 279135839 344939725 371473550 386332492 482915615 558271678 689879450 742947100 965831230 1116543356 1379758900 1395679195 1931662460 1953950873 2414578075 2791358390 3628765907 3907901746 4829156150 5582716780 6978395975 7257531814 7815803492 9658312300 9769754365 13956791950 14515063628 18143829535 19539508730 25401361349 27913583900 36287659070 39079017460 48848771825 50802722698 72575318140 90719147675 97697543650 101605445396 127006806745 181438295350 195395087300 254013613490 362876590700 508027226980 635034033725 1270068067450 2540136134900