Search a number
-
+
22443013313140 = 22572531607268883
BaseRepresentation
bin1010001101001011010111…
…10101100001001001110100
32221110112100012000102122111
411012211223311201021310
510420201242402010030
6115422102235540404
74504311535403200
oct506455365411164
987415305012574
1022443013313140
117173034a21aa2
1226257338ba704
13c6a4a0601b04
1457836774bb00
1528dbdaa6762a
hex14696bd61274

22443013313140 has 144 divisors (see below), whose sum is σ = 55894478758272. Its totient is φ = 7544837524224.

The previous prime is 22443013313137. The next prime is 22443013313197. The reversal of 22443013313140 is 4131331034422.

It is a super-3 number, since 3×224430133131403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83333139 + ... + 83602021.

It is an arithmetic number, because the mean of its divisors is an integer number (388156102488).

Almost surely, 222443013313140 is an apocalyptic number.

22443013313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22443013313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27947239379136).

22443013313140 is an abundant number, since it is smaller than the sum of its proper divisors (33451465445132).

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

22443013313140 is a wasteful number, since it uses less digits than its factorization.

22443013313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270566 (or 270557 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 22443013313140 its reverse (4131331034422), we get a palindrome (26574344347562).

The spelling of 22443013313140 in words is "twenty-two trillion, four hundred forty-three billion, thirteen million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1607 1855 2597 3214 3710 5194 6428 7420 8035 10388 11249 12985 16070 22498 25970 32140 44996 51940 56245 78743 85171 112490 157486 170342 224980 268883 314972 340684 393715 425855 537766 596197 787430 851710 1075532 1192394 1344415 1574860 1703420 1882181 2384788 2688830 2980985 3764362 4173379 5377660 5961970 7528724 8346758 9410905 11923940 13175267 14250799 16693516 18821810 20866895 26350534 28501598 37643620 41733790 52701068 57003196 65876335 71253995 83467580 99755593 131752670 142507990 199511186 263505340 285015980 399022372 432094981 498777965 698289151 864189962 997555930 1396578302 1728379924 1995111860 2160474905 2793156604 3024664867 3491445755 4320949810 6049329734 6982891510 8641899620 12098659468 13965783020 15123324335 21172654069 22901033993 30246648670 42345308138 45802067986 60493297340 84690616276 91604135972 105863270345 114505169965 160307237951 211726540690 229010339930 320614475902 423453081380 458020679860 641228951804 801536189755 1122150665657 1603072379510 2244301331314 3206144759020 4488602662628 5610753328285 11221506656570 22443013313140