Search a number
-
+
451201352140 = 225721141855413
BaseRepresentation
bin1101001000011011011…
…00100100000111001100
31121010121222221112221101
412210031230210013030
524343030021232030
6543140134512444
744412122133100
oct6441554440714
91533558845841
10451201352140
11164398445060
1273542505724
1333718256b06
1417ba4295900
15bb0b9947ca
hex690db241cc

451201352140 has 72 divisors (see below), whose sum is σ = 1202422333392. Its totient is φ = 140634184320.

The previous prime is 451201352101. The next prime is 451201352141. The reversal of 451201352140 is 41253102154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 451201352099 and 451201352108.

It is not an unprimeable number, because it can be changed into a prime (451201352141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20916927 + ... + 20938486.

It is an arithmetic number, because the mean of its divisors is an integer number (16700310186).

Almost surely, 2451201352140 is an apocalyptic number.

It is an amenable number.

451201352140 is an abundant number, since it is smaller than the sum of its proper divisors (751220981252).

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

451201352140 is a wasteful number, since it uses less digits than its factorization.

451201352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41855447 (or 41855438 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 451201352140 its reverse (41253102154), we get a palindrome (492454454294).

The spelling of 451201352140 in words is "four hundred fifty-one billion, two hundred one million, three hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 41855413 83710826 167421652 209277065 292987891 418554130 460409543 585975782 837108260 920819086 1171951564 1464939455 1841638172 2050915237 2302047715 2929878910 3222866801 4101830474 4604095430 5859757820 6445733602 8203660948 9208190860 10254576185 12891467204 16114334005 20509152370 22560067607 32228668010 41018304740 45120135214 64457336020 90240270428 112800338035 225600676070 451201352140