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114020600340 = 223547251161087
BaseRepresentation
bin110101000110000101…
…0000100101000010100
3101220022021212122011210
41222030022010220110
53332003233202330
6124214053101420
711144352053223
oct1521412045024
9356267778153
10114020600340
11443a0724709
121a121327870
13a9a148206a
14573917acba
152e7508b8b0
hex1a8c284a14

114020600340 has 96 divisors (see below), whose sum is σ = 327351435264. Its totient is φ = 29639824000.

The previous prime is 114020600333. The next prime is 114020600357. The reversal of 114020600340 is 43006020411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627277 + ... + 788363.

It is an arithmetic number, because the mean of its divisors is an integer number (3409910784).

Almost surely, 2114020600340 is an apocalyptic number.

114020600340 is a gapful number since it is divisible by the number (10) 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 114020600340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163675717632).

114020600340 is an abundant number, since it is smaller than the sum of its proper divisors (213330834924).

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

114020600340 is a wasteful number, since it uses less digits than its factorization.

114020600340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161397 (or 161395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114020600340 its reverse (43006020411), we get a palindrome (157026620751).

The spelling of 114020600340 in words is "one hundred fourteen billion, twenty million, six hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 251 282 470 502 564 705 753 940 1004 1255 1410 1506 2510 2820 3012 3765 5020 7530 11797 15060 23594 35391 47188 58985 70782 117970 141564 161087 176955 235940 322174 353910 483261 644348 707820 805435 966522 1610870 1933044 2416305 3221740 4832610 7571089 9665220 15142178 22713267 30284356 37855445 40432837 45426534 75710890 80865674 90853068 113566335 121298511 151421780 161731348 202164185 227132670 242597022 404328370 454265340 485194044 606492555 808656740 1212985110 1900343339 2425970220 3800686678 5701030017 7601373356 9501716695 11402060034 19003433390 22804120068 28505150085 38006866780 57010300170 114020600340