Search a number
-
+
30842130375 = 3353710871201
BaseRepresentation
bin11100101110010101…
…011000111111000111
32221121102220120002000
4130232111120333013
51001131041133000
622100233520343
72141203532310
oct345625307707
987542816060
1030842130375
1112097640051
125b88b730b3
132ba69a93b4
1416c821d607
15c07a24000
hex72e558fc7

30842130375 has 128 divisors (see below), whose sum is σ = 65284177920. Its totient is φ = 14074560000.

The previous prime is 30842130359. The next prime is 30842130383. The reversal of 30842130375 is 57303124803.

30842130375 is a `hidden beast` number, since 308 + 42 + 1 + 303 + 7 + 5 = 666.

It is not a de Polignac number, because 30842130375 - 24 = 30842130359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25679775 + ... + 25680975.

It is an arithmetic number, because the mean of its divisors is an integer number (510032640).

Almost surely, 230842130375 is an apocalyptic number.

30842130375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30842130375 is an abundant number, since it is smaller than the sum of its proper divisors (34442047545).

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

30842130375 is a wasteful number, since it uses less digits than its factorization.

30842130375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30842130375 in words is "thirty billion, eight hundred forty-two million, one hundred thirty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1087 1125 1201 1575 2625 3261 3375 3603 4725 5435 6005 7609 7875 8407 9783 10809 16305 18015 22827 23625 25221 27175 29349 30025 32427 38045 42035 48915 54045 68481 75663 81525 90075 114135 126105 135875 146745 150125 162135 190225 205443 210175 226989 244575 270225 342405 378315 407625 450375 570675 630525 733725 810675 951125 1027215 1050875 1134945 1222875 1305487 1351125 1712025 1891575 2853375 3152625 3668625 3916461 4053375 5136075 5674725 6527435 8560125 9138409 9457875 11749383 19582305 25680375 27415227 28373625 32637175 35248149 45692045 58746915 82245681 97911525 137076135 163185875 176240745 228460225 246737043 293734575 411228405 489557625 685380675 881203725 1142301125 1233685215 1468672875 2056142025 3426903375 4406018625 6168426075 10280710125 30842130375