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114342234304 = 264367727853
BaseRepresentation
bin110101001111101010…
…1000000100011000000
3101221010201002100000211
41222133111000203000
53333133102444204
6124310022523504
711155335645454
oct1523725004300
9357121070024
10114342234304
1144546235001
121a1b0b96594
13aa22cb5c0c
145769b82664
152e93420804
hex1a9f5408c0

114342234304 has 112 divisors (see below), whose sum is σ = 236240612608. Its totient is φ = 54868036608.

The previous prime is 114342234287. The next prime is 114342234319. The reversal of 114342234304 is 403432243411.

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, 134046742 + ... + 134047594.

It is an arithmetic number, because the mean of its divisors is an integer number (2109291184).

Almost surely, 2114342234304 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 114342234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118120306304).

114342234304 is an abundant number, since it is smaller than the sum of its proper divisors (121898378304).

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

114342234304 is an equidigital number, since it uses as much as digits as its factorization.

114342234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 114342234304 its reverse (403432243411), we get a palindrome (517774477715).

The spelling of 114342234304 in words is "one hundred fourteen billion, three hundred forty-two million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 67 86 134 172 268 344 536 688 727 853 1072 1376 1454 1706 2144 2752 2881 2908 3412 4288 5762 5816 6824 11524 11632 13648 23048 23264 27296 31261 36679 46096 46528 48709 54592 57151 62522 73358 92192 97418 114302 125044 146716 184384 194836 228604 250088 293432 389672 457208 500176 586864 620131 779344 914416 1000352 1173728 1240262 1558688 1828832 2000704 2094487 2347456 2457493 2480524 3117376 3657664 4188974 4914986 4961048 8377948 9829972 9922096 16755896 19659944 19844192 26665633 33511792 39319888 39688384 41548777 53331266 67023584 78639776 83097554 106662532 134047168 157279552 166195108 213325064 332390216 426650128 664780432 853300256 1329560864 1706600512 1786597411 2659121728 3573194822 7146389644 14292779288 28585558576 57171117152 114342234304