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1004142431250 = 2325572550203
BaseRepresentation
bin11101001110010111000…
…11011000110000010010
310112222212102010201212200
432213023203120300102
5112422440430300000
62045144025104030
7132355404560040
oct16471343306022
93488772121780
101004142431250
113579442518a2
12142739328016
13738c85690aa
143685a675390
151b1c0273500
hexe9cb8d8c12

1004142431250 has 144 divisors (see below), whose sum is σ = 3107862209088. Its totient is φ = 229518180000.

The previous prime is 1004142431183. The next prime is 1004142431267. The reversal of 1004142431250 is 521342414001.

1004142431250 is a `hidden beast` number, since 1 + 0 + 0 + 414 + 243 + 1 + 2 + 5 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 881352 + ... + 1668851.

It is an arithmetic number, because the mean of its divisors is an integer number (21582376452).

Almost surely, 21004142431250 is an apocalyptic number.

1004142431250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004142431250 is an abundant number, since it is smaller than the sum of its proper divisors (2103719777838).

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

1004142431250 is an equidigital number, since it uses as much as digits as its factorization.

1004142431250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550243 (or 2550220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1004142431250 its reverse (521342414001), we get a palindrome (1525484845251).

The spelling of 1004142431250 in words is "one trillion, four billion, one hundred forty-two million, four hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 625 630 750 875 1050 1125 1250 1575 1750 1875 2250 2625 3125 3150 3750 4375 5250 5625 6250 7875 8750 9375 11250 13125 15750 18750 21875 26250 28125 39375 43750 56250 65625 78750 131250 196875 393750 2550203 5100406 7650609 12751015 15301218 17851421 22951827 25502030 35702842 38253045 45903654 53554263 63755075 76506090 89257105 107108526 114759135 127510150 160662789 178514210 191265225 229518270 267771315 318775375 321325578 382530450 446285525 535542630 573795675 637550750 803313945 892571050 956326125 1147591350 1338856575 1593876875 1606627890 1912652250 2231427625 2677713150 2868978375 3187753750 4016569725 4462855250 4781630625 5737956750 6694282875 7969384375 8033139450 9563261250 11157138125 13388565750 14344891875 15938768750 20082848625 22314276250 23908153125 28689783750 33471414375 40165697250 47816306250 55785690625 66942828750 71724459375 100414243125 111571381250 143448918750 167357071875 200828486250 334714143750 502071215625 1004142431250