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134225431704 = 233271320486177
BaseRepresentation
bin111110100000001110…
…1011000110010011000
3110211110101211102020100
41331000131120302120
54144343202303304
6141355020455400
712461142226140
oct1750035306230
9424411742210
10134225431704
1151a19836551
122201b9aa560
13c871416090
1466d4741920
153758cb8439
hex1f40758c98

134225431704 has 96 divisors (see below), whose sum is σ = 447418127520. Its totient is φ = 35400112128.

The previous prime is 134225431699. The next prime is 134225431723. The reversal of 134225431704 is 407134522431.

134225431704 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 543 + 1 + 70 + 4 = 666.

It is a super-2 number, since 2×1342254317042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10236537 + ... + 10249640.

It is an arithmetic number, because the mean of its divisors is an integer number (4660605495).

Almost surely, 2134225431704 is an apocalyptic number.

134225431704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134225431704 is an abundant number, since it is smaller than the sum of its proper divisors (313192695816).

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

134225431704 is a wasteful number, since it uses less digits than its factorization.

134225431704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20486209 (or 20486202 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 134225431704 in words is "one hundred thirty-four billion, two hundred twenty-five million, four hundred thirty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 20486177 40972354 61458531 81944708 122917062 143403239 163889416 184375593 245834124 266320301 286806478 368751186 430209717 491668248 532640602 573612956 737502372 798960903 860419434 1065281204 1147225912 1290629151 1475004744 1597921806 1720838868 1864242107 2130562408 2396882709 2581258302 3195843612 3441677736 3728484214 4793765418 5162516604 5592726321 6391687224 7456968428 9587530836 10325033208 11185452642 14913936856 16778178963 19175061672 22370905284 33556357926 44741810568 67112715852 134225431704