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2142858409290 = 234519913293991
BaseRepresentation
bin11111001011101100010…
…100000111010101001010
321120212002111010222010000
4133023230110013111022
5240102033223044130
64320225432303430
7310550012643114
oct37135424072512
97525074128100
102142858409290
11756865787155
122a7372b41b76
131270bc3944c1
1475a019883b4
153ab19b25260
hex1f2ec50754a

2142858409290 has 80 divisors (see below), whose sum is σ = 5790862915200. Its totient is φ = 568557364320.

The previous prime is 2142858409283. The next prime is 2142858409297. The reversal of 2142858409290 is 929048582412.

2142858409290 is a `hidden beast` number, since 2 + 1 + 428 + 5 + 8 + 40 + 92 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (2142858409283) and next prime (2142858409297).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2142858409297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6485806 + ... + 6808185.

It is an arithmetic number, because the mean of its divisors is an integer number (72385786440).

Almost surely, 22142858409290 is an apocalyptic number.

2142858409290 is an abundant number, since it is smaller than the sum of its proper divisors (3648004505910).

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

2142858409290 is a wasteful number, since it uses less digits than its factorization.

2142858409290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13294209 (or 13294200 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2142858409290 in words is "two trillion, one hundred forty-two billion, eight hundred fifty-eight million, four hundred nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 270 398 405 597 810 995 1194 1791 1990 2985 3582 5373 5970 8955 10746 16119 17910 26865 32238 53730 80595 161190 13293991 26587982 39881973 66469955 79763946 119645919 132939910 199409865 239291838 358937757 398819730 598229595 717875514 1076813271 1196459190 1794688785 2153626542 2645504209 3589377570 5291008418 5384066355 7936512627 10768132710 13227521045 15873025254 23809537881 26455042090 39682563135 47619075762 71428613643 79365126270 119047689405 142857227286 214285840929 238095378810 357143068215 428571681858 714286136430 1071429204645 2142858409290