Search a number
-
+
134192878120 = 23573131349393
BaseRepresentation
bin111110011111010000…
…1001101001000101000
3110211101010120112010001
41330332201031020220
54144311334044440
6141351455032344
712460265433550
oct1747641151050
9424333515101
10134192878120
1151a02421564
1222010b0b6b4
13c8677589c2
1466d02aa160
153755ed7b9a
hex1f3e84d228

134192878120 has 128 divisors (see below), whose sum is σ = 357343856640. Its totient is φ = 44381675520.

The previous prime is 134192878117. The next prime is 134192878147. The reversal of 134192878120 is 21878291431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692144 + ... + 2741536.

It is an arithmetic number, because the mean of its divisors is an integer number (2791748880).

Almost surely, 2134192878120 is an apocalyptic number.

134192878120 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 134192878120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178671928320).

134192878120 is an abundant number, since it is smaller than the sum of its proper divisors (223150978520).

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

134192878120 is a wasteful number, since it uses less digits than its factorization.

134192878120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49755 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 134192878120 in words is "one hundred thirty-four billion, one hundred ninety-two million, eight hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 313 434 620 626 868 1085 1240 1252 1565 1736 2170 2191 2504 3130 4340 4382 6260 8680 8764 9703 10955 12520 17528 19406 21910 38812 43820 48515 49393 67921 77624 87640 97030 98786 135842 194060 197572 246965 271684 339605 345751 388120 395144 493930 543368 679210 691502 987860 1358420 1383004 1531183 1728755 1975720 2716840 2766008 3062366 3457510 6124732 6915020 7655915 10718281 12249464 13830040 15311830 15460009 21436562 30623660 30920018 42873124 53591405 61247320 61840036 77300045 85746248 107182810 108220063 123680072 154600090 214365620 216440126 309200180 428731240 432880252 479260279 541100315 618400360 865760504 958520558 1082200630 1917041116 2164401260 2396301395 3354821953 3834082232 4328802520 4792602790 6709643906 9585205580 13419287812 16774109765 19170411160 26838575624 33548219530 67096439060 134192878120