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4022141234112 = 26333886759887
BaseRepresentation
bin111010100001111010010…
…011001010101111000000
3112020111211221022221012000
4322201322103022233000
51011344321123442422
612315425101304000
7563406260252061
oct72417223125700
915214757287160
104022141234112
111310864962561
1254b626b65000
13232394c9a6b1
14dc95bb66568
156e959bd5cac
hex3a87a4cabc0

4022141234112 has 112 divisors (see below), whose sum is σ = 11824852062720. Its totient is φ = 1340656862976.

The previous prime is 4022141234093. The next prime is 4022141234131. The reversal of 4022141234112 is 2114321412204.

4022141234112 is a `hidden beast` number, since 4 + 0 + 221 + 4 + 1 + 23 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4022141234093) and next prime (4022141234131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 67132233 + ... + 67192119.

Almost surely, 24022141234112 is an apocalyptic number.

It is an amenable number.

4022141234112 is an abundant number, since it is smaller than the sum of its proper divisors (7802710828608).

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

4022141234112 is a wasteful number, since it uses less digits than its factorization.

4022141234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98775 (or 98759 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4022141234112 its reverse (2114321412204), we get a palindrome (6136462646316).

The spelling of 4022141234112 in words is "four trillion, twenty-two billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 38867 59887 77734 116601 119774 155468 179661 233202 239548 310936 349803 359322 466404 479096 538983 621872 699606 718644 932808 958192 1049409 1077966 1243744 1399212 1437288 1616949 1865616 1916384 2098818 2155932 2487488 2798424 2874576 3233898 3731232 3832768 4197636 4311864 5596848 5749152 6467796 7462464 8395272 8623728 11193696 11498304 12935592 16790544 17247456 22387392 25871184 33581088 34494912 51742368 67162176 103484736 2327628029 4655256058 6982884087 9310512116 13965768174 18621024232 20948652261 27931536348 37242048464 41897304522 55863072696 62845956783 74484096928 83794609044 111726145392 125691913566 148968193856 167589218088 223452290784 251383827132 335178436176 446904581568 502767654264 670356872352 1005535308528 1340713744704 2011070617056 4022141234112