Search a number
-
+
141222400312230 = 232519769107394277
BaseRepresentation
bin100000000111000011100111…
…000000010100001110100110
3200112000201200220002102012100
4200013003213000110032212
5122002241433434442410
61220204401452032530
741513660505352626
oct4007034700241646
9615021626072170
10141222400312230
1140aa80a1352476
1213a09a20162746
1360a52a4a6ab13
1426c32b47dc886
15114d7baa2b8c0
hex8070e70143a6

141222400312230 has 96 divisors (see below), whose sum is σ = 387006020200800. Its totient is φ = 35630843314176.

The previous prime is 141222400312207. The next prime is 141222400312247. The reversal of 141222400312230 is 32213004222141.

141222400312230 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 2 + 400 + 31 + 223 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141222400312194 and 141222400312203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52382149 + ... + 55012128.

It is an arithmetic number, because the mean of its divisors is an integer number (4031312710425).

Almost surely, 2141222400312230 is an apocalyptic number.

141222400312230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141222400312230 is an abundant number, since it is smaller than the sum of its proper divisors (245783619888570).

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

141222400312230 is a wasteful number, since it uses less digits than its factorization.

141222400312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107395078 (or 107395075 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141222400312230 its reverse (32213004222141), we get a palindrome (173435404534371).

The spelling of 141222400312230 in words is "one hundred forty-one trillion, two hundred twenty-two billion, four hundred million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 769 855 1538 1710 2307 3845 4614 6921 7690 11535 13842 14611 23070 29222 34605 43833 69210 73055 87666 131499 146110 219165 262998 438330 657495 1314990 107394277 214788554 322182831 536971385 644365662 966548493 1073942770 1610914155 1933096986 2040491263 3221828310 4080982526 4832742465 6121473789 9665484930 10202456315 12242947578 18364421367 20404912630 30607368945 36728842734 61214737890 82586199013 91822106835 165172398026 183644213670 247758597039 412930995065 495517194078 743275791117 825861990130 1238792985195 1486551582234 1569137781247 2477585970390 3138275562494 3716378955585 4707413343741 7432757911170 7845688906235 9414826687482 14122240031223 15691377812470 23537066718705 28244480062446 47074133437410 70611200156115 141222400312230