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138974948280 = 23325755148789
BaseRepresentation
bin1000000101101110001…
…1010110101110111000
3111021201101212212010200
42001123203112232320
54234110041321110
6143502203242200
713016633366220
oct2013343265670
9437641785120
10138974948280
1153a3680a663
1222b26519360
131014a3c320c
146a2543d080
153935c426c0
hex205b8d6bb8

138974948280 has 96 divisors (see below), whose sum is σ = 516192674400. Its totient is φ = 31765701888.

The previous prime is 138974948251. The next prime is 138974948291. The reversal of 138974948280 is 82849479831.

138974948280 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 74 + 9 + 482 + 80 = 666.

138974948280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27571875 + ... + 27576914.

It is an arithmetic number, because the mean of its divisors is an integer number (5377007025).

Almost surely, 2138974948280 is an apocalyptic number.

138974948280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138974948280 is an abundant number, since it is smaller than the sum of its proper divisors (377217726120).

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

138974948280 is a wasteful number, since it uses less digits than its factorization.

138974948280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148813 (or 55148806 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 138974948280 in words is "one hundred thirty-eight billion, nine hundred seventy-four million, nine hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 55148789 110297578 165446367 220595156 275743945 330892734 386041523 441190312 496339101 551487890 661785468 772083046 827231835 992678202 1102975780 1158124569 1323570936 1544166092 1654463670 1930207615 1985356404 2205951560 2316249138 2481695505 3088332184 3308927340 3474373707 3860415230 3970712808 4632498276 4963391010 5790622845 6617854680 6948747414 7720830460 9264996552 9926782020 11581245690 13897494828 15441660920 17371868535 19853564040 23162491380 27794989656 34743737070 46324982760 69487474140 138974948280