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244440202301240 = 235114093347405827
BaseRepresentation
bin110111100101000100101011…
…011011010100111100111000
31012001111020212222112122102212
4313211010223123110330320
5224014402013242114430
62223514140110514252
7102326136041250011
oct6745045333247470
91161436788478385
10244440202301240
1170982564724330
12234ba195205988
13a6517c5c2451a
144450d7c9d0008
151d3d6b5ca7b95
hexde512b6d4f38

244440202301240 has 128 divisors (see below), whose sum is σ = 601637737363200. Its totient is φ = 88643307002880.

The previous prime is 244440202301227. The next prime is 244440202301297. The reversal of 244440202301240 is 42103202044442.

It is a super-2 number, since 2×2444402023012402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244440202301197 and 244440202301206.

It is a congruent number.

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, 602123207 + ... + 602529033.

It is an arithmetic number, because the mean of its divisors is an integer number (4700294823150).

Almost surely, 2244440202301240 is an apocalyptic number.

244440202301240 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 244440202301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300818868681600).

244440202301240 is an abundant number, since it is smaller than the sum of its proper divisors (357197535061960).

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

244440202301240 is a wasteful number, since it uses less digits than its factorization.

244440202301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409605 (or 409601 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 244440202301240 its reverse (42103202044442), we get a palindrome (286543404345682).

The spelling of 244440202301240 in words is "two hundred forty-four trillion, four hundred forty billion, two hundred two million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 409 440 818 1636 2045 3272 3347 4090 4499 6694 8180 8998 13388 16360 16735 17996 22495 26776 33470 35992 36817 44990 66940 73634 89980 133880 147268 179960 184085 294536 368170 405827 736340 811654 1368923 1472680 1623308 2029135 2737846 3246616 4058270 4464097 5475692 6844615 8116540 8928194 10951384 13689230 15058153 16233080 17856388 22320485 27378460 30116306 35712776 44640970 54756920 60232612 75290765 89281940 120465224 150581530 165983243 178563880 301163060 331966486 602326120 663932972 829916215 1327865944 1358302969 1659832430 1825815673 2716605938 3319664860 3651631346 5433211876 6639329720 6791514845 7303262692 9129078365 10866423752 13583029690 14606525384 14941332659 18258156730 27166059380 29882665318 36516313460 54332118760 59765330636 73032626920 74706663295 119530661272 149413326590 298826653180 555545914321 597653306360 1111091828642 2222183657284 2777729571605 4444367314568 5555459143210 6111005057531 11110918286420 12222010115062 22221836572840 24444020230124 30555025287655 48888040460248 61110050575310 122220101150620 244440202301240