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230146211043540 = 2232511116235460123
BaseRepresentation
bin110100010101000100010111…
…001001111101100011010100
31010011212202121011012101210100
4310111010113021331203110
5220131203420011343130
62133251413150454100
766322341441253011
oct6425042711754324
91104782534171710
10230146211043540
1167371507264480
122198ba64504330
139b55904cab9bc
1440b91c9466708
151b9196eeadc60
hexd1511727d8d4

230146211043540 has 72 divisors (see below), whose sum is σ = 761574734732448. Its totient is φ = 55793020858560.

The previous prime is 230146211043503. The next prime is 230146211043557. The reversal of 230146211043540 is 45340112641032.

230146211043540 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 4 + 6 + 2 + 1 + 104 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230146211043495 and 230146211043504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58117728082 + ... + 58117732041.

It is an arithmetic number, because the mean of its divisors is an integer number (10577426871284).

Almost surely, 2230146211043540 is an apocalyptic number.

230146211043540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230146211043540 is an abundant number, since it is smaller than the sum of its proper divisors (531428523688908).

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

230146211043540 is a wasteful number, since it uses less digits than its factorization.

230146211043540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116235460149 (or 116235460144 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 230146211043540 its reverse (45340112641032), we get a palindrome (275486323684572).

The spelling of 230146211043540 in words is "two hundred thirty trillion, one hundred forty-six billion, two hundred eleven million, forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 116235460123 232470920246 348706380369 464941840492 581177300615 697412760738 1046119141107 1162354601230 1278590061353 1394825521476 1743531901845 2092238282214 2324709202460 2557180122706 3487063803690 3835770184059 4184476564428 5114360245412 5230595705535 6392950306765 6974127607380 7671540368118 10461191411070 11507310552177 12785900613530 15343080736236 19178850920295 20922382822140 23014621104354 25571801227060 38357701840590 46029242208708 57536552760885 76715403681180 115073105521770 230146211043540