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134140454421200 = 24522512814754663
BaseRepresentation
bin11110100000000000000010…
…001000101100001011010000
3122120221200221220110212010222
4132200000002020230023100
5120040224122312434300
61153143135105412212
740153220336456213
oct3640000210541320
9576850856425128
10134140454421200
1139817713539347
121306539a93a068
1359b0510129a96
14251a60b21977a
15107947b0d8785
hex7a000222c2d0

134140454421200 has 120 divisors (see below), whose sum is σ = 324707910238656. Its totient is φ = 53252214400000.

The previous prime is 134140454421151. The next prime is 134140454421217. The reversal of 134140454421200 is 2124454041431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25835069 + ... + 30589731.

Almost surely, 2134140454421200 is an apocalyptic number.

134140454421200 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 134140454421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162353955119328).

134140454421200 is an abundant number, since it is smaller than the sum of its proper divisors (190567455817456).

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

134140454421200 is a wasteful number, since it uses less digits than its factorization.

134140454421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755213 (or 4755202 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 134140454421200 in words is "one hundred thirty-four trillion, one hundred forty billion, four hundred fifty-four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 281 400 502 562 1004 1124 1255 1405 2008 2248 2510 2810 4016 4496 5020 5620 6275 7025 10040 11240 12550 14050 20080 22480 25100 28100 50200 56200 70531 100400 112400 141062 282124 352655 564248 705310 1128496 1410620 1763275 2821240 3526550 4754663 5642480 7053100 9509326 14106200 19018652 23773315 28212400 38037304 47546630 76074608 95093260 118866575 190186520 237733150 380373040 475466300 950932600 1193420413 1336060303 1901865200 2386840826 2672120606 4773681652 5344241212 5967102065 6680301515 9547363304 10688482424 11934204130 13360603030 19094726608 21376964848 23868408260 26721206060 29835510325 33401507575 47736816520 53442412120 59671020650 66803015150 95473633040 106884824240 119342041300 133606030300 238684082600 267212060600 335351136053 477368165200 534424121200 670702272106 1341404544212 1676755680265 2682809088424 3353511360530 5365618176848 6707022721060 8383778401325 13414045442120 16767556802650 26828090884240 33535113605300 67070227210600 134140454421200