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442102103124304 = 24721159348641917
BaseRepresentation
bin110010010000101101110101…
…0110011111010100101010000
32010222100112210201002002211211
41210201123222303322211100
5430421400101344434204
64204134522524345504
7162056552152521400
oct14441335263724520
92128315721062754
10442102103124304
1111895a4a36aa007
12417024239a5294
1315c8c0847cc25c
147b25bdaa94800
15361a1549e5804
hex19216eacfa950

442102103124304 has 60 divisors (see below), whose sum is σ = 996507420014964. Its totient is φ = 189455982331392.

The previous prime is 442102103124281. The next prime is 442102103124307. The reversal of 442102103124304 is 403421301201244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407973746689600 + 34128356434704 = 20198360^2 + 5841948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442102103124307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15232047 + ... + 33409870.

Almost surely, 2442102103124304 is an apocalyptic number.

It is an amenable number.

442102103124304 is an abundant number, since it is smaller than the sum of its proper divisors (554405316890660).

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

442102103124304 is a wasteful number, since it uses less digits than its factorization.

442102103124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48653532 (or 48653519 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 442102103124304 its reverse (403421301201244), we get a palindrome (845523404325548).

The spelling of 442102103124304 in words is "four hundred forty-two trillion, one hundred two billion, one hundred three million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 11593 23186 46372 81151 92744 162302 185488 324604 568057 649208 1136114 1298416 2272228 4544456 9088912 48641917 97283834 194567668 340493419 389135336 680986838 778270672 1361973676 2383453933 2723947352 4766907866 5447894704 9533815732 19067631464 38135262928 563905743781 1127811487562 2255622975124 3947340206467 4511245950248 7894680412934 9022491900496 15789360825868 27631381445269 31578721651736 55262762890538 63157443303472 110525525781076 221051051562152 442102103124304