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455055125040 = 24335210673669
BaseRepresentation
bin1101001111100110110…
…01100010101000110000
31121111120120111111112000
412213303121202220300
524423423103000130
6545014402334000
744606455512435
oct6476331425060
91544516444460
10455055125040
11165a9583373a
127423905a300
1333bb079a9c9
141804c023b8c
15bc84e83260
hex69f3662a30

455055125040 has 80 divisors (see below), whose sum is σ = 1567412104800. Its totient is φ = 121348032768.

The previous prime is 455055125033. The next prime is 455055125081. The reversal of 455055125040 is 40521550554.

455055125040 is a `hidden beast` number, since 4 + 5 + 50 + 5 + 512 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 455055124986 and 455055125004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105334675 + ... + 105338994.

It is an arithmetic number, because the mean of its divisors is an integer number (19592651310).

Almost surely, 2455055125040 is an apocalyptic number.

455055125040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455055125040 is an abundant number, since it is smaller than the sum of its proper divisors (1112356979760).

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

455055125040 is a wasteful number, since it uses less digits than its factorization.

455055125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210673691 (or 210673679 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

Adding to 455055125040 its reverse (40521550554), we get a palindrome (495576675594).

The spelling of 455055125040 in words is "four hundred fifty-five billion, fifty-five million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 210673669 421347338 632021007 842694676 1053368345 1264042014 1685389352 1896063021 2106736690 2528084028 3160105035 3370778704 3792126042 4213473380 5056168056 5688189063 6320210070 7584252084 8426946760 9480315105 10112336112 11376378126 12640420140 15168504168 16853893520 18960630210 22752756252 25280840280 28440945315 30337008336 37921260420 45505512504 50561680560 56881890630 75842520840 91011025008 113763781260 151685041680 227527562520 455055125040