Search a number
-
+
24333340200204 = 22372415827173219
BaseRepresentation
bin1011000100001100011000…
…00110010100110100001100
310012011020121022112212222210
411202012030012110310030
511142134140042401304
6123430325425310420
75061011566002300
oct542061406246414
9105136538485883
1024333340200204
1178317911a0872
12288bb6a495410
1310768162bc189
14601a505c9d00
152c2e754bcc89
hex16218c194d0c

24333340200204 has 144 divisors (see below), whose sum is σ = 67670557557120. Its totient is φ = 6781609416960.

The previous prime is 24333340200193. The next prime is 24333340200229. The reversal of 24333340200204 is 40200204333342.

It is a super-2 number, since 2×243333402002042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140390707 + ... + 140563925.

It is an arithmetic number, because the mean of its divisors is an integer number (469934427480).

Almost surely, 224333340200204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24333340200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33835278778560).

24333340200204 is an abundant number, since it is smaller than the sum of its proper divisors (43337217356916).

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

24333340200204 is a wasteful number, since it uses less digits than its factorization.

24333340200204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179108 (or 179099 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 24333340200204 its reverse (40200204333342), we get a palindrome (64533544533546).

The spelling of 24333340200204 in words is "twenty-four trillion, three hundred thirty-three billion, three hundred forty million, two hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 5827 6027 8036 11654 12054 17481 23308 24108 34962 40789 69924 81578 122367 163156 173219 238907 244734 285523 346438 477814 489468 519657 571046 692876 716721 856569 955628 1039314 1142092 1212533 1433442 1672349 1713138 2078628 2425066 2866884 3344698 3426276 3637599 4850132 5017047 6689396 7101979 7275198 8487731 10034094 11706443 14203958 14550396 16975462 20068188 21305937 23412886 25463193 28407916 33950924 35119329 42611874 46825772 49713853 50926386 70238658 85223748 99427706 101852772 140477316 149141559 198855412 298283118 347996971 596566236 695993942 1009347113 1043990913 1391987884 2018694226 2087981826 3028041339 4037388452 4175963652 6056082678 7065429791 12112165356 14130859582 21196289373 28261719164 41383231633 42392578746 49458008537 82766463266 84785157492 98916017074 124149694899 148374025611 165532926532 197832034148 248299389798 289682621431 296748051222 496598779596 579365242862 593496102444 869047864293 1158730485724 1738095728586 2027778350017 3476191457172 4055556700034 6083335050051 8111113400068 12166670100102 24333340200204