Search a number
-
+
45455050440 = 23325126264029
BaseRepresentation
bin101010010101010101…
…010000011011001000
311100022211200210220200
4222111111100123020
51221042443103230
632514243252200
73166263360642
oct522525203310
9140284623820
1045455050440
1118306211198
12898697a060
134395288867
1422b2c83892
1512b0878160
hexa955506c8

45455050440 has 48 divisors (see below), whose sum is σ = 147728915100. Its totient is φ = 12121346688.

The previous prime is 45455050429. The next prime is 45455050549. The reversal of 45455050440 is 4405055454.

45455050440 is a `hidden beast` number, since 4 + 54 + 550 + 50 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41638034916 + 3817015524 = 204054^2 + 61782^2 .

It is a super-2 number, since 2×454550504402 (a number of 22 digits) contains 22 as substring.

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 = 45455050395 and 45455050404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63131655 + ... + 63132374.

Almost surely, 245455050440 is an apocalyptic number.

45455050440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45455050440 is an abundant number, since it is smaller than the sum of its proper divisors (102273864660).

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

45455050440 is a wasteful number, since it uses less digits than its factorization.

45455050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126264046 (or 126264039 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 45455050440 in words is "forty-five billion, four hundred fifty-five million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 126264029 252528058 378792087 505056116 631320145 757584174 1010112232 1136376261 1262640290 1515168348 1893960435 2272752522 2525280580 3030336696 3787920870 4545505044 5050561160 5681881305 7575841740 9091010088 11363762610 15151683480 22727525220 45455050440