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145142024224050 = 232527232003340569
BaseRepresentation
bin100001000000000110000010…
…110010111011110100110010
3201000220102221012222210010200
4201000012002302323310302
5123011001331200132200
61232405154143340030
742400110444033330
oct4100060262736462
9630812835883120
10145142024224050
1142279428914387
12143415b62b1616
1362caaac842c59
1427baca9064b50
1511ba7254c9800
hex840182cbbd32

145142024224050 has 144 divisors (see below), whose sum is σ = 465031439832960. Its totient is φ = 31732914597120.

The previous prime is 145142024224031. The next prime is 145142024224063. The reversal of 145142024224050 is 50422420241541.

145142024224050 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 2 + 0 + 242 + 2 + 405 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145142024223996 and 145142024224014.

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, 1001597835 + ... + 1001742734.

It is an arithmetic number, because the mean of its divisors is an integer number (3229384998840).

Almost surely, 2145142024224050 is an apocalyptic number.

145142024224050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145142024224050 is an abundant number, since it is smaller than the sum of its proper divisors (319889415608910).

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

145142024224050 is a wasteful number, since it uses less digits than its factorization.

145142024224050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003340617 (or 2003340609 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 145142024224050 its reverse (50422420241541), we get a palindrome (195564444465591).

The spelling of 145142024224050 in words is "one hundred forty-five trillion, one hundred forty-two billion, twenty-four million, two hundred twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 315 322 345 350 414 450 483 525 575 630 690 805 966 1035 1050 1150 1449 1575 1610 1725 2070 2415 2898 3150 3450 4025 4830 5175 7245 8050 10350 12075 14490 24150 36225 72450 2003340569 4006681138 6010021707 10016702845 12020043414 14023383983 18030065121 20033405690 28046767966 30050108535 36060130242 42070151949 46076833087 50083514225 60100217070 70116919915 84140303898 90150325605 92153666174 100167028450 126210455847 138230499261 140233839830 150250542675 180300651210 210350759745 230384165435 252420911694 276460998522 300501085350 322537831609 350584599575 414691497783 420701519490 450751628025 460768330870 631052279235 645075663218 691152496305 701169199150 829382995566 901503256050 967613494827 1051753798725 1151920827175 1262104558470 1382304992610 1612689158045 1935226989654 2073457488915 2103507597450 2303841654350 2902840484481 3155261396175 3225378316090 3455762481525 4146914977830 4838067474135 5805680968962 6310522792350 6911524963050 8063445790225 9676134948270 10367287444575 14514202422405 16126891580450 20734574889150 24190337370675 29028404844810 48380674741350 72571012112025 145142024224050