Search a number
-
+
1054325324040 = 233523382001929
BaseRepresentation
bin11110101011110101010…
…11111011100100001000
310201210101202002211020120
433111322223323210020
5114233224240332130
62124203402423240
7136113110246652
oct17257253734410
93653352084216
101054325324040
11377156182a0a
12150403501b20
13785651835b1
143905b3b36d2
151c65abe3910
hexf57aafb908

1054325324040 has 64 divisors (see below), whose sum is σ = 3300496675200. Its totient is φ = 268929357312.

The previous prime is 1054325324033. The next prime is 1054325324077. The reversal of 1054325324040 is 404235234501.

It is a super-2 number, since 2×10543253240402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054325323992 and 1054325324010.

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 15 ways as a sum of consecutive naturals, for example, 190998205 + ... + 191003724.

It is an arithmetic number, because the mean of its divisors is an integer number (51570260550).

Almost surely, 21054325324040 is an apocalyptic number.

1054325324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054325324040 is an abundant number, since it is smaller than the sum of its proper divisors (2246171351160).

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

1054325324040 is a wasteful number, since it uses less digits than its factorization.

1054325324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382001966 (or 382001962 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 1054325324040 in words is "one trillion, fifty-four billion, three hundred twenty-five million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 382001929 764003858 1146005787 1528007716 1910009645 2292011574 3056015432 3820019290 4584023148 5730028935 7640038580 8786044367 9168046296 11460057870 15280077160 17572088734 22920115740 26358133101 35144177468 43930221835 45840231480 52716266202 70288354936 87860443670 105432532404 131790665505 175720887340 210865064808 263581331010 351441774680 527162662020 1054325324040