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1140021001314 = 232136179866961
BaseRepresentation
bin10000100101101110100…
…010111111110001100010
311000222121000122021121200
4100211232202333301202
5122134230334020224
62231415102302030
7145235532424446
oct20455642776142
94028530567550
101140021001314
113aa531153698
12164b3a887916
1383671301940
143d26a780826
151e9c42355c9
hex1096e8bfc62

1140021001314 has 48 divisors (see below), whose sum is σ = 2703656397624. Its totient is φ = 345025267200.

The previous prime is 1140021001313. The next prime is 1140021001331. The reversal of 1140021001314 is 4131001200411.

1140021001314 is a `hidden beast` number, since 1 + 140 + 0 + 210 + 0 + 1 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670706947089 + 469314054225 = 818967^2 + 685065^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1140021001313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39919207 + ... + 39947754.

Almost surely, 21140021001314 is an apocalyptic number.

1140021001314 is an abundant number, since it is smaller than the sum of its proper divisors (1563635396310).

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

1140021001314 is a wasteful number, since it uses less digits than its factorization.

1140021001314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79867043 (or 79867040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1140021001314 its reverse (4131001200411), we get a palindrome (5271022201725).

The spelling of 1140021001314 in words is "one trillion, one hundred forty billion, twenty-one million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 79866961 159733922 239600883 479201766 718802649 1038270493 1437605298 2076540986 3114811479 4871884621 6229622958 9344434437 9743769242 14615653863 18688868874 29231307726 43846961589 63334500073 87693923178 126669000146 190003500219 380007000438 570010500657 1140021001314