Search a number
-
+
24103142032140 = 22325593225811711
BaseRepresentation
bin1010111101011111100110…
…01110000000001100001100
310011100020102102002022122100
411132233303032000030030
511124401213330012030
6123132455223515100
75035252220602053
oct536576316001414
9104306372068570
1024103142032140
1177530a3344a86
1228534255b8a90
13105abbb842702
145d4853a3739a
152bbea0d28360
hex15ebf338030c

24103142032140 has 72 divisors (see below), whose sum is σ = 73236157682688. Its totient is φ = 6416665551360.

The previous prime is 24103142032133. The next prime is 24103142032181. The reversal of 24103142032140 is 4123024130142.

24103142032140 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 314 + 20 + 321 + 4 + 0 = 666.

It is a super-2 number, since 2×241031420321402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112799116 + ... + 113012595.

It is an arithmetic number, because the mean of its divisors is an integer number (1017168856704).

Almost surely, 224103142032140 is an apocalyptic number.

24103142032140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24103142032140 is an abundant number, since it is smaller than the sum of its proper divisors (49133015650548).

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

24103142032140 is a wasteful number, since it uses less digits than its factorization.

24103142032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225812319 (or 225812314 counting only the distinct ones).

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

Adding to 24103142032140 its reverse (4123024130142), we get a palindrome (28226166162282).

The spelling of 24103142032140 in words is "twenty-four trillion, one hundred three billion, one hundred forty-two million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 593 1186 1779 2372 2965 3558 5337 5930 7116 8895 10674 11860 17790 21348 26685 35580 53370 106740 225811711 451623422 677435133 903246844 1129058555 1354870266 2032305399 2258117110 2709740532 3387175665 4064610798 4516234220 6774351330 8129221596 10161526995 13548702660 20323053990 40646107980 133906344623 267812689246 401719033869 535625378492 669531723115 803438067738 1205157101607 1339063446230 1606876135476 2008595169345 2410314203214 2678126892460 4017190338690 4820628406428 6025785508035 8034380677380 12051571016070 24103142032140