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202053222400040 = 23511701176549223
BaseRepresentation
bin101101111100010000101110…
…100011000000000000101000
3222111102002200110210221222222
4231330100232203000000220
5202440414444413300130
61553421545143133212
760362602131621614
oct5574205643000050
9874362613727888
10202053222400040
115942032158a010
121a7b3327444208
1388986ca07544b
1437c75dcb80344
151855d04786ce5
hexb7c42e8c0028

202053222400040 has 64 divisors (see below), whose sum is σ = 495955967506560. Its totient is φ = 73472839960320.

The previous prime is 202053222400033. The next prime is 202053222400079. The reversal of 202053222400040 is 40004222350202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202053222399982 and 202053222400009.

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, 27576869 + ... + 34126091.

It is an arithmetic number, because the mean of its divisors is an integer number (7749311992290).

Almost surely, 2202053222400040 is an apocalyptic number.

202053222400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202053222400040 is an abundant number, since it is smaller than the sum of its proper divisors (293902745106520).

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

202053222400040 is a wasteful number, since it uses less digits than its factorization.

202053222400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619362 (or 6619358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 202053222400040 its reverse (40004222350202), we get a palindrome (242057444750242).

The spelling of 202053222400040 in words is "two hundred two trillion, fifty-three billion, two hundred twenty-two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 70117 140234 280468 350585 560936 701170 771287 1402340 1542574 2804680 3085148 3856435 6170296 6549223 7712870 13098446 15425740 26196892 30851480 32746115 52393784 65492230 72041453 130984460 144082906 261968920 288165812 360207265 576331624 720414530 1440829060 2881658120 459211869091 918423738182 1836847476364 2296059345455 3673694952728 4592118690910 5051330560001 9184237381820 10102661120002 18368474763640 20205322240004 25256652800005 40410644480008 50513305600010 101026611200020 202053222400040