Search a number
-
+
24082246140 = 223523131133213
BaseRepresentation
bin10110011011011010…
…011110100111111100
32022011022222212012020
4112123122132213330
5343310023334030
615021354040140
71511531500101
oct263332364774
968138885166
1024082246140
11a238888a67
124801119050
13236a364bb4
141246528aa8
1595e33a510
hex59b69e9fc

24082246140 has 96 divisors (see below), whose sum is σ = 70899687936. Its totient is φ = 6095781120.

The previous prime is 24082246109. The next prime is 24082246157. The reversal of 24082246140 is 4164228042.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114174 + ... + 247386.

It is an arithmetic number, because the mean of its divisors is an integer number (738538416).

Almost surely, 224082246140 is an apocalyptic number.

24082246140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24082246140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35449843968).

24082246140 is an abundant number, since it is smaller than the sum of its proper divisors (46817441796).

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

24082246140 is a wasteful number, since it uses less digits than its factorization.

24082246140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133379 (or 133377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 24082246140 in words is "twenty-four billion, eighty-two million, two hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 131 138 230 262 276 345 393 460 524 655 690 786 1310 1380 1572 1965 2620 3013 3930 6026 7860 9039 12052 15065 18078 30130 36156 45195 60260 90390 133213 180780 266426 399639 532852 666065 799278 1332130 1598556 1998195 2664260 3063899 3996390 6127798 7992780 9191697 12255596 15319495 17450903 18383394 30638990 34901806 36766788 45958485 52352709 61277980 69803612 87254515 91916970 104705418 174509030 183833940 209410836 261763545 349018060 401370769 523527090 802741538 1047054180 1204112307 1605483076 2006853845 2408224614 4013707690 4816449228 6020561535 8027415380 12041123070 24082246140