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114402210312 = 233132317419157
BaseRepresentation
bin110101010001011100…
…1110011001000001000
3101221021212221102122110
41222202321303020020
53333243431212222
6124320004222320
711156664512565
oct1524271631010
9357255842573
10114402210312
1144577079955
121a20909a9a0
13aa32554c90
145773b1586c
152e9881b30c
hex1aa2e73208

114402210312 has 128 divisors (see below), whose sum is σ = 321617237760. Its totient is φ = 33647201280.

The previous prime is 114402210283. The next prime is 114402210323. The reversal of 114402210312 is 213012204411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12488838 + ... + 12497994.

It is an arithmetic number, because the mean of its divisors is an integer number (2512634670).

Almost surely, 2114402210312 is an apocalyptic number.

114402210312 is a gapful number since it is divisible by the number (12) 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 114402210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160808618880).

114402210312 is an abundant number, since it is smaller than the sum of its proper divisors (207215027448).

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

114402210312 is a wasteful number, since it uses less digits than its factorization.

114402210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114402210312 its reverse (213012204411), we get a palindrome (327414414723).

The spelling of 114402210312 in words is "one hundred fourteen billion, four hundred two million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1741 1794 2392 3482 3588 5223 6964 7176 9157 10446 13928 18314 20892 22633 27471 36628 40043 41784 45266 54942 67899 73256 80086 90532 109884 119041 120129 135798 160172 181064 210611 219768 238082 240258 271596 320344 357123 421222 476164 480516 520559 543192 631833 714246 842444 952328 961032 1041118 1263666 1428492 1561677 1684888 2082236 2527332 2737943 2856984 3123354 4164472 5054664 5475886 6246708 8213829 10951772 12493416 15942337 16427658 21903544 31884674 32855316 47827011 63769348 65710632 95654022 127538696 191308044 207250381 366673751 382616088 414500762 621751143 733347502 829001524 1100021253 1243502286 1466695004 1658003048 2200042506 2487004572 2933390008 4400085012 4766758763 4974009144 8800170024 9533517526 14300276289 19067035052 28600552578 38134070104 57201105156 114402210312