Search a number
-
+
61442114030442 = 232311103110645709
BaseRepresentation
bin11011111100001100110110…
…11000011000101101101010
322001112210211120100201112100
431332012123120120231222
531023131422142433232
6334402041214554230
715641021602100355
oct1576063330305552
9261483746321470
1061442114030442
11186394aa639832
126a83a87808976
132838c744c89b2
141125b581ad29c
157183b50d3c7c
hex37e19b618b6a

61442114030442 has 48 divisors (see below), whose sum is σ = 133682183256960. Its totient is φ = 20395047386400.

The previous prime is 61442114030441. The next prime is 61442114030449. The reversal of 61442114030442 is 24403041124416.

61442114030442 is a `hidden beast` number, since 6 + 1 + 4 + 42 + 1 + 140 + 30 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61442114030397 and 61442114030406.

It is not an unprimeable number, because it can be changed into a prime (61442114030441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448684 + ... + 11094392.

It is an arithmetic number, because the mean of its divisors is an integer number (2785045484520).

Almost surely, 261442114030442 is an apocalyptic number.

61442114030442 is an abundant number, since it is smaller than the sum of its proper divisors (72240069226518).

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

61442114030442 is a wasteful number, since it uses less digits than its factorization.

61442114030442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647059 (or 10647056 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 61442114030442 its reverse (24403041124416), we get a palindrome (85845155154858).

The spelling of 61442114030442 in words is "sixty-one trillion, four hundred forty-two billion, one hundred fourteen million, thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 311 622 933 1031 1866 2062 2799 3093 5598 6186 9279 18558 320641 641282 961923 1923846 2885769 5771538 10645709 21291418 31937127 63874254 95811381 191622762 3310815499 6621630998 9932446497 10975725979 19864892994 21951451958 29797339491 32927177937 59594678982 65854355874 98781533811 197563067622 3413450779469 6826901558938 10240352338407 20480704676814 30721057015221 61442114030442