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314020402112 = 26297315115349
BaseRepresentation
bin1001001000111010001…
…00110001001111000000
31010000112121210020202102
410210131010301033000
520121103210331422
6400131535005532
731454501243264
oct4443504611700
91100477706672
10314020402112
111111a236a98a
1250a389698a8
13237c5731c31
14112ad20a0a4
15827d4c2192
hex491d1313c0

314020402112 has 112 divisors (see below), whose sum is σ = 657822408000. Its totient is φ = 148519526400.

The previous prime is 314020402093. The next prime is 314020402117. The reversal of 314020402112 is 211204020413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314020402117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20451014 + ... + 20466362.

Almost surely, 2314020402112 is an apocalyptic number.

314020402112 is a gapful number since it is divisible by the number (32) 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 314020402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328911204000).

314020402112 is an abundant number, since it is smaller than the sum of its proper divisors (343802005888).

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

314020402112 is a wasteful number, since it uses less digits than its factorization.

314020402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 314020402112 its reverse (211204020413), we get a palindrome (525224422525).

The spelling of 314020402112 in words is "three hundred fourteen billion, twenty million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 146 151 232 292 302 464 584 604 928 1168 1208 1856 2117 2336 2416 4234 4379 4672 4832 8468 8758 9664 11023 15349 16936 17516 22046 30698 33872 35032 44092 61396 67744 70064 88184 122792 135488 140128 176368 245584 280256 319667 352736 445121 491168 639334 705472 890242 982336 1120477 1278668 1780484 2240954 2317699 2557336 3560968 4481908 4635398 5114672 7121936 8963816 9270796 10229344 14243872 17927632 18541592 20458688 28487744 32493833 35855264 37083184 64987666 67213271 71710528 74166368 129975332 134426542 148332736 169192027 259950664 268853084 338384054 519901328 537706168 676768108 1039802656 1075412336 1353536216 2079605312 2150824672 2707072432 4301649344 4906568783 5414144864 9813137566 10828289728 19626275132 39252550264 78505100528 157010201056 314020402112