Search a number
-
+
21442103034012 = 22323889153153503
BaseRepresentation
bin1001110000000011000001…
…11011110100000010011100
32210220211211000202000221200
410320001200323310002130
510302301411334042022
6113334211030555500
74342066205404143
oct470014073640234
983824730660850
1021442103034012
1169175aa193a01
1224a3758b08b90
13bc6c9b880c8b
14541b3647075a
15272b59443bac
hex138060ef409c

21442103034012 has 36 divisors (see below), whose sum is σ = 54214808880960. Its totient is φ = 7145529789312.

The previous prime is 21442103033957. The next prime is 21442103034071. The reversal of 21442103034012 is 21043030124412.

21442103034012 is a `hidden beast` number, since 2 + 1 + 44 + 210 + 3 + 0 + 3 + 401 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×214421030340122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76436748 + ... + 76716755.

It is an arithmetic number, because the mean of its divisors is an integer number (1505966913360).

Almost surely, 221442103034012 is an apocalyptic number.

It is an amenable number.

21442103034012 is an abundant number, since it is smaller than the sum of its proper divisors (32772705846948).

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

21442103034012 is a wasteful number, since it uses less digits than its factorization.

21442103034012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153157402 (or 153157397 counting only the distinct ones).

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

Adding to 21442103034012 its reverse (21043030124412), we get a palindrome (42485133158424).

The spelling of 21442103034012 in words is "twenty-one trillion, four hundred forty-two billion, one hundred three million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3889 7778 11667 15556 23334 35001 46668 70002 140004 153153503 306307006 459460509 612614012 918921018 1378381527 1837842036 2756763054 5513526108 595613973167 1191227946334 1786841919501 2382455892668 3573683839002 5360525758503 7147367678004 10721051517006 21442103034012