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14042022243408 = 243385937840141
BaseRepresentation
bin1100110001010110100110…
…1111110110110001010000
31211201101220200012002201000
43030111221233312301100
53320031030143242113
645510452125342000
72646334254464535
oct314255157666120
954641820162630
1014042022243408
114524208533075
1216a9530a07900
137ab206c6b133
143678cd444d8c
151953ea1dd373
hexcc569bf6c50

14042022243408 has 80 divisors (see below), whose sum is σ = 40352727428800. Its totient is φ = 4675224977280.

The previous prime is 14042022243401. The next prime is 14042022243449. The reversal of 14042022243408 is 80434222024041.

14042022243408 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 0 + 2 + 2 + 243 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042022243401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18548983 + ... + 19291158.

It is an arithmetic number, because the mean of its divisors is an integer number (504409092860).

Almost surely, 214042022243408 is an apocalyptic number.

14042022243408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14042022243408 is an abundant number, since it is smaller than the sum of its proper divisors (26310705185392).

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

14042022243408 is a wasteful number, since it uses less digits than its factorization.

14042022243408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37841017 (or 37841005 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14042022243408 its reverse (80434222024041), we get a palindrome (94476244267449).

The spelling of 14042022243408 in words is "fourteen trillion, forty-two billion, twenty-two million, two hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 859 1718 2577 3436 5154 6872 7731 10308 13744 15462 20616 23193 30924 41232 46386 61848 92772 123696 185544 371088 37840141 75680282 113520423 151360564 227040846 302721128 340561269 454081692 605442256 681122538 908163384 1021683807 1362245076 1816326768 2043367614 2724490152 4086735228 5448980304 8173470456 16346940912 32504681119 65009362238 97514043357 130018724476 195028086714 260037448952 292542130071 390056173428 520074897904 585084260142 780112346856 877626390213 1170168520284 1560224693712 1755252780426 2340337040568 3510505560852 4680674081136 7021011121704 14042022243408