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4311312113024 = 27723939075153
BaseRepresentation
bin111110101111001110001…
…110100001110110000000
3120021011020202100121111022
4332233032032201312000
51031114031400104044
613100331153005012
7623324222211020
oct76571616416600
916234222317438
104311312113024
111412465323904
12597689853768
1325372a401037
1410c950999a80
157723180b3ee
hex3ebce3a1d80

4311312113024 has 128 divisors (see below), whose sum is σ = 9861440947200. Its totient is φ = 1839146287104.

The previous prime is 4311312112969. The next prime is 4311312113039. The reversal of 4311312113024 is 4203112131134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4311312112984 and 4311312113002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836658032 + ... + 836663184.

It is an arithmetic number, because the mean of its divisors is an integer number (77042507400).

Almost surely, 24311312113024 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 4311312113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930720473600).

4311312113024 is an abundant number, since it is smaller than the sum of its proper divisors (5550128834176).

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

4311312113024 is a wasteful number, since it uses less digits than its factorization.

4311312113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 4311312113024 its reverse (4203112131134), we get a palindrome (8514424244158).

The spelling of 4311312113024 in words is "four trillion, three hundred eleven billion, three hundred twelve million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 448 478 896 956 1673 1912 3346 3824 3907 5153 6692 7648 7814 10306 13384 15296 15628 20612 26768 27349 30592 31256 36071 41224 53536 54698 62512 72142 82448 107072 109396 125024 144284 164896 214144 218792 250048 288568 329792 437584 500096 577136 659584 875168 933773 1154272 1231567 1750336 1867546 2308544 2463134 3500672 3735092 4617088 4926268 6536411 7470184 8620969 9852536 13072822 14940368 17241938 19705072 20132771 26145644 29880736 34483876 39410144 40265542 52291288 59761472 68967752 78820288 80531084 104582576 119522944 137935504 140929397 157640576 161062168 209165152 275871008 281858794 322124336 418330304 551742016 563717588 644248672 836660608 1103484032 1127435176 1288497344 2254870352 2576994688 4509740704 4811732269 9019481408 9623464538 18038962816 19246929076 33682125883 38493858152 67364251766 76987716304 134728503532 153975432608 269457007064 307950865216 538914014128 615901730432 1077828028256 2155656056512 4311312113024