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3114310104224 = 251137943154163
BaseRepresentation
bin101101010100011011010…
…110001111010010100000
3102000201120121220020021222
4231110123112033102200
5402011101341313344
610342405545434212
7441000336053054
oct55243326172240
912021517806258
103114310104224
11aa08539559a0
124236a819b968
131978a7c76427
14aaa3a6b3c64
1556024e195ee
hex2d51b58f4a0

3114310104224 has 96 divisors (see below), whose sum is σ = 6722021053440. Its totient is φ = 1408558636800.

The previous prime is 3114310104181. The next prime is 3114310104251. The reversal of 3114310104224 is 4224010134113.

It is a junction number, because it is equal to n+sod(n) for n = 3114310104193 and 3114310104202.

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, 57471767 + ... + 57525929.

It is an arithmetic number, because the mean of its divisors is an integer number (70021052640).

Almost surely, 23114310104224 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 3114310104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361010526720).

3114310104224 is an abundant number, since it is smaller than the sum of its proper divisors (3607710949216).

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

3114310104224 is a wasteful number, since it uses less digits than its factorization.

3114310104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54994 (or 54986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 3114310104224 its reverse (4224010134113), we get a palindrome (7338320238337).

The spelling of 3114310104224 in words is "three trillion, one hundred fourteen billion, three hundred ten million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 379 431 758 862 1516 1724 3032 3448 4169 4741 6064 6896 8338 9482 12128 13792 16676 18964 33352 37928 54163 66704 75856 108326 133408 151712 163349 216652 326698 433304 595793 653396 866608 1191586 1306792 1733216 1796839 2383172 2613584 3593678 4766344 5227168 7187356 9532688 14374712 19065376 20527777 23344253 28749424 41055554 46688506 57498848 82111108 93377012 164222216 186754024 225805547 256786783 328444432 373508048 451611094 513573566 656888864 747016096 903222188 1027147132 1806444376 2054294264 3612888752 4108588528 7225777504 8217177056 8847471887 17694943774 35389887548 70779775096 97322190757 141559550192 194644381514 283119100384 389288763028 778577526056 1557155052112 3114310104224