Search a number
-
+
2120522521440 = 25354920789779
BaseRepresentation
bin11110110110111000111…
…111011101101101100000
321111201102212020022010110
4132312320333131231200
5234220312231141230
64302053220531320
7306126345014421
oct36667077355540
97451385208113
102120522521440
11748343755004
122a2b7a850b40
13124c6ca8a80b
14748c3371648
153a25dc994b0
hex1edb8fddb60

2120522521440 has 96 divisors (see below), whose sum is σ = 6679856090880. Its totient is φ = 565454882304.

The previous prime is 2120522521433. The next prime is 2120522521457. The reversal of 2120522521440 is 441252250212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2120522521398 and 2120522521407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23574471 + ... + 23664249.

It is an arithmetic number, because the mean of its divisors is an integer number (69581834280).

Almost surely, 22120522521440 is an apocalyptic number.

2120522521440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120522521440 is an abundant number, since it is smaller than the sum of its proper divisors (4559333569440).

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

2120522521440 is a wasteful number, since it uses less digits than its factorization.

2120522521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139004 (or 138996 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2120522521440 its reverse (441252250212), we get a palindrome (2561774771652).

The spelling of 2120522521440 in words is "two trillion, one hundred twenty billion, five hundred twenty-two million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 49207 89779 98414 147621 179558 196828 246035 269337 295242 359116 393656 448895 492070 538674 590484 718232 738105 787312 897790 984140 1077348 1180968 1346685 1436464 1476210 1574624 1795580 1968280 2154696 2361936 2693370 2872928 2952420 3591160 3936560 4309392 4723872 5386740 5904840 7182320 7873120 8618784 10773480 11809680 14364640 21546960 23619360 43093920 4417755253 8835510506 13253265759 17671021012 22088776265 26506531518 35342042024 44177552530 53013063036 66266328795 70684084048 88355105060 106026126072 132532657590 141368168096 176710210120 212052252144 265065315180 353420420240 424104504288 530130630360 706840840480 1060261260720 2120522521440