Search a number
-
+
2114324102340 = 2232517690955589
BaseRepresentation
bin11110110001000111100…
…010010111110011000100
321111010102212210222121200
4132301013202113303010
5234120113432233330
64255150155142500
7305516631224622
oct36610742276304
97433385728550
102114324102340
11745752920a9a
122a192aa44a30
131244c286c1c8
1474496072512
1539ee9a1aa60
hex1ec47897cc4

2114324102340 has 72 divisors (see below), whose sum is σ = 6790711538520. Its totient is φ = 530653891584.

The previous prime is 2114324102329. The next prime is 2114324102381. The reversal of 2114324102340 is 432014234112.

2114324102340 is a `hidden beast` number, since 2 + 1 + 14 + 3 + 2 + 410 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 804361447044 + 1309962655296 = 896862^2 + 1144536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345474735 + ... + 345480854.

It is an arithmetic number, because the mean of its divisors is an integer number (94315438035).

Almost surely, 22114324102340 is an apocalyptic number.

2114324102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114324102340 is an abundant number, since it is smaller than the sum of its proper divisors (4676387436180).

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

2114324102340 is a wasteful number, since it uses less digits than its factorization.

2114324102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690955621 (or 690955616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2114324102340 its reverse (432014234112), we get a palindrome (2546338336452).

The spelling of 2114324102340 in words is "two trillion, one hundred fourteen billion, three hundred twenty-four million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 690955589 1381911178 2072866767 2763822356 3454777945 4145733534 6218600301 6909555890 8291467068 10364333835 11746245013 12437200602 13819111780 20728667670 23492490026 24874401204 31093001505 35238735039 41457335340 46984980052 58731225065 62186003010 70477470078 105716205117 117462450130 124372006020 140954940156 176193675195 211432410234 234924900260 352387350390 422864820468 528581025585 704774700780 1057162051170 2114324102340