Search a number
-
+
153333313505540 = 225761105239170609
BaseRepresentation
bin100010110111010010110001…
…101011110000100100000100
3202002220112002020220112002022
4202313102301223300210010
5130044203111224134130
61302040203552502312
744203652310104030
oct4267226153604404
9662815066815068
10153333313505540
114494732509aaa3
121524503454a998
136773366bc016c
1429c152c9931c0
1512ad840cca7e5
hex8b74b1af0904

153333313505540 has 96 divisors (see below), whose sum is σ = 374038485004800. Its totient is φ = 51708800747520.

The previous prime is 153333313505521. The next prime is 153333313505557. The reversal of 153333313505540 is 45505313333351.

It is a super-2 number, since 2×1533333135055402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153333313505491 and 153333313505500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898655756 + ... + 898826364.

It is an arithmetic number, because the mean of its divisors is an integer number (3896234218800).

Almost surely, 2153333313505540 is an apocalyptic number.

153333313505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153333313505540 is an abundant number, since it is smaller than the sum of its proper divisors (220705171499260).

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

153333313505540 is a wasteful number, since it uses less digits than its factorization.

153333313505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275925 (or 275923 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 44.

Adding to 153333313505540 its reverse (45505313333351), we get a palindrome (198838626838891).

The spelling of 153333313505540 in words is "one hundred fifty-three trillion, three hundred thirty-three billion, three hundred thirteen million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 105239 170609 210478 341218 420956 526195 682436 736673 853045 1052390 1194263 1473346 1706090 2104780 2388526 2946692 3412180 3683365 4777052 5971315 6419579 7366730 10407149 11942630 12839158 14733460 20814298 23885260 25678316 32097895 41628596 44937053 52035745 64195790 72850043 89874106 104071490 128391580 145700086 179748212 208142980 224685265 291400172 364250215 449370530 728500430 898741060 1457000860 17954720551 35909441102 71818882204 89773602755 125683043857 179547205510 251366087714 359094411020 502732175428 628415219285 1095237953611 1256830438570 2190475907222 2513660877140 4380951814444 5476189768055 7666665675277 10952379536110 15333331350554 21904759072220 30666662701108 38333328376385 76666656752770 153333313505540