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2244152012040 = 233257098792321
BaseRepresentation
bin100000101010000001111…
…000100010110100001000
321221112112210221010201200
4200222001320202310020
5243232010403341130
64434541005544200
7321064115236161
oct40520170426410
97845483833650
102244152012040
11795815340134
12302b21b75060
13133812bac153
147a890742768
153d5976d9760
hex20a81e22d08

2244152012040 has 96 divisors (see below), whose sum is σ = 7303781885400. Its totient is φ = 597596405760.

The previous prime is 2244152012033. The next prime is 2244152012107. The reversal of 2244152012040 is 402102514422.

It is a happy number.

2244152012040 is a `hidden beast` number, since 2 + 2 + 4 + 415 + 201 + 2 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1875875379876 + 368276632164 = 1369626^2 + 606858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2244152011995 and 2244152012013.

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, 4140921 + ... + 4651400.

Almost surely, 22244152012040 is an apocalyptic number.

2244152012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244152012040 is an abundant number, since it is smaller than the sum of its proper divisors (5059629873360).

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

2244152012040 is a wasteful number, since it uses less digits than its factorization.

2244152012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793047 (or 8793040 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2244152012040 its reverse (402102514422), we get a palindrome (2646254526462).

The spelling of 2244152012040 in words is "two trillion, two hundred forty-four billion, one hundred fifty-two million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5672 6381 7090 8508 10635 12762 14180 17016 21270 25524 28360 31905 42540 51048 63810 85080 127620 255240 8792321 17584642 26376963 35169284 43961605 52753926 70338568 79130889 87923210 105507852 131884815 158261778 175846420 211015704 263769630 316523556 351692840 395654445 527539260 633047112 791308890 1055078520 1582617780 3165235560 6233755589 12467511178 18701266767 24935022356 31168777945 37402533534 49870044712 56103800301 62337555890 74805067068 93506333835 112207600602 124675111780 149610134136 187012667670 224415201204 249350223560 280519001505 374025335340 448830402408 561038003010 748050670680 1122076006020 2244152012040