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21342404016 = 2433113437201
BaseRepresentation
bin10011111000000110…
…110011110110110000
32001002101111110101000
4103320012303312300
5322202123412031
613445441442000
71353612304143
oct237006636660
961071443330
1021342404016
11906225a02a
124177640300
13202183b73b
1410666c405a
1584da353e6
hex4f81b3db0

21342404016 has 80 divisors (see below), whose sum is σ = 61802874720. Its totient is φ = 7051161600.

The previous prime is 21342404009. The next prime is 21342404033. The reversal of 21342404016 is 61040424312.

It is a happy number.

21342404016 is a `hidden beast` number, since 2 + 13 + 4 + 240 + 401 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 169785 + ... + 267416.

It is an arithmetic number, because the mean of its divisors is an integer number (772535934).

Almost surely, 221342404016 is an apocalyptic number.

It is an amenable number.

21342404016 is an abundant number, since it is smaller than the sum of its proper divisors (40460470704).

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

21342404016 is a wasteful number, since it uses less digits than its factorization.

21342404016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437331 (or 437319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21342404016 its reverse (61040424312), we get a palindrome (82382828328).

The spelling of 21342404016 in words is "twenty-one billion, three hundred forty-two million, four hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 437201 874402 1311603 1748804 2623206 3497608 3934809 5246412 6995216 7869618 10492824 11804427 15739236 20985648 23608854 31478472 47217708 49403713 62956944 94435416 98807426 148211139 188870832 197614852 296422278 395229704 444633417 592844556 790459408 889266834 1185689112 1333900251 1778533668 2371378224 2667800502 3557067336 5335601004 7114134672 10671202008 21342404016