Search a number
-
+
33414242020044 = 22341389487358499
BaseRepresentation
bin1111001100011110111000…
…00001101010101011001100
311101022100222222101222120220
413212033130001222223030
513334424331424120134
6155022142454511340
710016046031620534
oct746173401525314
9141270888358526
1033414242020044
11a71299a570626
1238b7aa2065550
131584c46096782
14837387b1c4c4
153ce2ab404149
hex1e63dc06aacc

33414242020044 has 96 divisors (see below), whose sum is σ = 80238150720000. Its totient is φ = 10816200138240.

The previous prime is 33414242020043. The next prime is 33414242020051. The reversal of 33414242020044 is 44002024241433.

It is a super-2 number, since 2×334142420200442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33414242019987 and 33414242020014.

It is not an unprimeable number, because it can be changed into a prime (33414242020043) 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 31 ways as a sum of consecutive naturals, for example, 93026707 + ... + 93385205.

It is an arithmetic number, because the mean of its divisors is an integer number (835814070000).

Almost surely, 233414242020044 is an apocalyptic number.

It is an amenable number.

33414242020044 is an abundant number, since it is smaller than the sum of its proper divisors (46823908699956).

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

33414242020044 is a wasteful number, since it uses less digits than its factorization.

33414242020044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359423 (or 359421 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 33414242020044 its reverse (44002024241433), we get a palindrome (77416266261477).

The spelling of 33414242020044 in words is "thirty-three trillion, four hundred fourteen billion, two hundred forty-two million, twenty thousand, forty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 389 487 492 778 974 1167 1461 1556 1948 2334 2922 4668 5844 15949 19967 31898 39934 47847 59901 63796 79868 95694 119802 189443 191388 239604 358499 378886 568329 716998 757772 1075497 1136658 1433996 2150994 2273316 4301988 7767163 14698459 15534326 23301489 29396918 31068652 44095377 46602978 58793836 88190754 93205956 139456111 174589013 176381508 278912222 349178026 418368333 523767039 557824444 698356052 836736666 1047534078 1673473332 2095068156 5717700551 7158149533 11435401102 14316299066 17153101653 21474448599 22870802204 28632598132 34306203306 42948897198 67915126057 68612406612 85897794396 135830252114 203745378171 271660504228 407490756342 814981512684 2784520168337 5569040336674 8353560505011 11138080673348 16707121010022 33414242020044