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142230515276200 = 235213173217884961
BaseRepresentation
bin100000010101101110011111…
…010101101101100110101000
3200122121002211011020201111111
4200111232133111231212220
5122120301043402314300
61222255444030240104
741646546521230021
oct4025563725554650
9618532734221444
10142230515276200
1141356693a2795a
1213b51287956034
13614938432c390
142719dca8b7c48
151169b1e8eb9ba
hex815b9f56d9a8

142230515276200 has 96 divisors (see below), whose sum is σ = 377071759847160. Its totient is φ = 49426712985600.

The previous prime is 142230515276191. The next prime is 142230515276203. The reversal of 142230515276200 is 2672515032241.

It can be written as a sum of positive squares in 12 ways, for example, as 9958480358436 + 132272034917764 = 3155706^2 + 11500958^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (142230515276203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608898281 + ... + 1608986680.

Almost surely, 2142230515276200 is an apocalyptic number.

142230515276200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142230515276200 is an abundant number, since it is smaller than the sum of its proper divisors (234841244570960).

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

142230515276200 is a wasteful number, since it uses less digits than its factorization.

142230515276200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217885007 (or 3217884998 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 142230515276200 in words is "one hundred forty-two trillion, two hundred thirty billion, five hundred fifteen million, two hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 3217884961 6435769922 12871539844 16089424805 25743079688 32178849610 41832504493 54704044337 64357699220 80447124025 83665008986 109408088674 128715398440 160894248050 167330017972 209162522465 218816177348 273520221685 321788496100 334660035944 418325044930 437632354696 547040443370 643576992200 711152576381 836650089860 1045812612325 1094080886740 1367601108425 1422305152762 1673300179720 2091625224650 2188161773480 2735202216850 2844610305524 3555762881905 4183250449300 5470404433700 5689220611048 7111525763810 8366500898600 10940808867400 14223051527620 17778814409525 28446103055240 35557628819050 71115257638100 142230515276200