Search a number
-
+
139935458320 = 24572277128873
BaseRepresentation
bin1000001001010011001…
…1011010010000010000
3111101012100020211012121
42002110303122100100
54243041434131240
6144141354304024
713052505525100
oct2022463322020
9441170224177
10139935458320
1154389a11009
1223154128014
13102713b4a58
146ab6c2b200
15399022304a
hex2094cda410

139935458320 has 120 divisors (see below), whose sum is σ = 379837557144. Its totient is φ = 47804295168.

The previous prime is 139935458297. The next prime is 139935458321. The reversal of 139935458320 is 23854539931.

It can be written as a sum of positive squares in 4 ways, for example, as 10439117584 + 129496340736 = 102172^2 + 359856^2 .

It is not an unprimeable number, because it can be changed into a prime (139935458321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021404 + ... + 1150276.

Almost surely, 2139935458320 is an apocalyptic number.

139935458320 is a gapful number since it is divisible by the number (10) 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 139935458320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189918778572).

139935458320 is an abundant number, since it is smaller than the sum of its proper divisors (239902098824).

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

139935458320 is a wasteful number, since it uses less digits than its factorization.

139935458320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129177 (or 129164 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 139935458320 in words is "one hundred thirty-nine billion, nine hundred thirty-five million, four hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 277 280 392 490 554 560 784 980 1108 1385 1939 1960 2216 2770 3878 3920 4432 5540 7756 9695 11080 13573 15512 19390 22160 27146 31024 38780 54292 67865 77560 108584 128873 135730 155120 217168 257746 271460 515492 542920 644365 902111 1030984 1085840 1288730 1804222 2061968 2577460 3608444 4510555 5154920 6314777 7216888 9021110 10309840 12629554 14433776 18042220 25259108 31573885 35697821 36084440 50518216 63147770 71395642 72168880 101036432 126295540 142791284 178489105 249884747 252591080 285582568 356978210 499769494 505182160 571165136 713956420 999538988 1249423735 1427912840 1749193229 1999077976 2498847470 2855825680 3498386458 3998155952 4997694940 6996772916 8745966145 9995389880 13993545832 17491932290 19990779760 27987091664 34983864580 69967729160 139935458320