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2134205241420 = 2235744411144211
BaseRepresentation
bin11111000011101000100…
…010111001100001001100
321120000202102200111100010
4133003220202321201030
5234431323020211140
64312235041033220
7310122411143340
oct37035042714114
97500672614303
102134205241420
1175312524704a
122a5759025810
1312634072b525
1475420657620
153a7b0108880
hex1f0e88b984c

2134205241420 has 96 divisors (see below), whose sum is σ = 6831000562176. Its totient is φ = 487708070400.

The previous prime is 2134205241409. The next prime is 2134205241461. The reversal of 2134205241420 is 241425024312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1293115 + ... + 2437325.

It is an arithmetic number, because the mean of its divisors is an integer number (71156255856).

Almost surely, 22134205241420 is an apocalyptic number.

2134205241420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134205241420 is an abundant number, since it is smaller than the sum of its proper divisors (4696795320756).

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

2134205241420 is a wasteful number, since it uses less digits than its factorization.

2134205241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148671 (or 1148669 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 2134205241420 in words is "two trillion, one hundred thirty-four billion, two hundred five million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4441 8882 13323 17764 22205 26646 31087 44410 53292 62174 66615 88820 93261 124348 133230 155435 186522 266460 310870 373044 466305 621740 932610 1144211 1865220 2288422 3432633 4576844 5721055 6865266 8009477 11442110 13730532 16018954 17163165 22884220 24028431 32037908 34326330 40047385 48056862 68652660 80094770 96113724 120142155 160189540 240284310 480568620 5081441051 10162882102 15244323153 20325764204 25407205255 30488646306 35570087357 50814410510 60977292612 71140174714 76221615765 101628821020 106710262071 142280349428 152443231530 177850436785 213420524142 304886463060 355700873570 426841048284 533551310355 711401747140 1067102620710 2134205241420