Search a number
-
+
134292031800 = 23352894125033
BaseRepresentation
bin111110100010001101…
…1011100100100111000
3110211122001011001101120
41331010123130210320
54200012230004200
6141405400145240
712462611302413
oct1750433344470
9424561131346
10134292031800
1151a53395153
122203a168220
13c882164214
1466dd51ab7a
15375ea719a0
hex1f446dc938

134292031800 has 96 divisors (see below), whose sum is σ = 416368492080. Its totient is φ = 35805772800.

The previous prime is 134292031751. The next prime is 134292031843. The reversal of 134292031800 is 8130292431.

It is a super-2 number, since 2×1342920318002 (a number of 23 digits) contains 22 as substring.

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, 5352084 + ... + 5377116.

Almost surely, 2134292031800 is an apocalyptic number.

134292031800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134292031800 is an abundant number, since it is smaller than the sum of its proper divisors (282076460280).

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

134292031800 is a wasteful number, since it uses less digits than its factorization.

134292031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33993 (or 33984 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 134292031800 in words is "one hundred thirty-four billion, two hundred ninety-two million, thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 8941 17882 25033 26823 35764 44705 50066 53646 71528 75099 89410 100132 107292 125165 134115 150198 178820 200264 214584 223525 250330 268230 300396 357640 375495 447050 500660 536460 600792 625825 670575 750990 894100 1001320 1072920 1251650 1341150 1501980 1788200 1877475 2503300 2682300 3003960 3754950 5006600 5364600 7509900 15019800 223820053 447640106 671460159 895280212 1119100265 1342920318 1790560424 2238200530 2685840636 3357300795 4476401060 5371681272 5595501325 6714601590 8952802120 11191002650 13429203180 16786503975 22382005300 26858406360 33573007950 44764010600 67146015900 134292031800