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1140383418340 = 225136133418849
BaseRepresentation
bin10000100110000100001…
…001100000011111100100
311001000112021120222022111
4100212010021200133210
5122141001123341330
62231515050210404
7145250523056035
oct20460411403744
94030467528274
101140383418340
113aa6a77899a1
12165020123a04
13836cb41489a
143d2a2960a8c
151e9e5e7332a
hex109842607e4

1140383418340 has 24 divisors (see below), whose sum is σ = 2394828487800. Its totient is φ = 456148927488.

The previous prime is 1140383418329. The next prime is 1140383418409. The reversal of 1140383418340 is 438143830411.

It can be written as a sum of positive squares in 4 ways, for example, as 520060207104 + 620323211236 = 721152^2 + 787606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140383418293 and 1140383418302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2513236 + ... + 2932084.

It is an arithmetic number, because the mean of its divisors is an integer number (99784520325).

Almost surely, 21140383418340 is an apocalyptic number.

1140383418340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140383418340 is an abundant number, since it is smaller than the sum of its proper divisors (1254445069460).

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

1140383418340 is a wasteful number, since it uses less digits than its factorization.

1140383418340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554991 (or 554989 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 1140383418340 in words is "one trillion, one hundred forty billion, three hundred eighty-three million, four hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 136133 272266 418849 544532 680665 837698 1361330 1675396 2094245 2722660 4188490 8376980 57019170917 114038341834 228076683668 285095854585 570191709170 1140383418340