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22414143142440 = 2333572964833749
BaseRepresentation
bin1010001100010101100110…
…00010100011101000101000
32221100202211011200210201000
411012022303002203220220
510414213131121024230
6115400525403555000
74502240235115260
oct506126302435050
987322734623630
1022414143142440
11716186a517495
12262001722ba60
13c6784c332a7a
14576bc93a87a0
1528d09b217b60
hex1462b30a3a28

22414143142440 has 128 divisors (see below), whose sum is σ = 85387212000000. Its totient is φ = 5123232716544.

The previous prime is 22414143142439. The next prime is 22414143142451. The reversal of 22414143142440 is 4424134141422.

22414143142440 is a `hidden beast` number, since 2 + 2 + 4 + 141 + 4 + 31 + 42 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22414143142395 and 22414143142404.

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, 1482409315 + ... + 1482424434.

It is an arithmetic number, because the mean of its divisors is an integer number (667087593750).

Almost surely, 222414143142440 is an apocalyptic number.

22414143142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414143142440 is an abundant number, since it is smaller than the sum of its proper divisors (62973068857560).

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

22414143142440 is a wasteful number, since it uses less digits than its factorization.

22414143142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964833776 (or 2964833766 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 22414143142440 its reverse (4424134141422), we get a palindrome (26838277283862).

The spelling of 22414143142440 in words is "twenty-two trillion, four hundred fourteen billion, one hundred forty-three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2964833749 5929667498 8894501247 11859334996 14824168745 17789002494 20753836243 23718669992 26683503741 29648337490 35578004988 41507672486 44472506235 53367007482 59296674980 62261508729 71156009976 80050511223 83015344972 88945012470 103769181215 106734014964 118593349960 124523017458 133417518705 160101022446 166030689944 177890024940 186784526187 207538362430 213468029928 249046034916 266835037410 311307543645 320202044892 355780049880 373569052374 400252556115 415076724860 498092069832 533670074820 560353578561 622615087290 640404089784 747138104748 800505112230 830153449720 933922630935 1067340149640 1120707157122 1245230174580 1494276209496 1601010224460 1867845261870 2241414314244 2490460349160 2801767892805 3202020448920 3735690523740 4482828628488 5603535785610 7471381047480 11207071571220 22414143142440