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1140744131037 = 3477128336541
BaseRepresentation
bin10000100110011001101…
…001100001000111011101
311001001110102100002010000
4100212121221201013131
5122142220444143122
62232014533404513
7145262463061410
oct20463151410735
94031412302100
101140744131037
113aa872360765
12165100a99739
138375807bb54
143d2d8819b77
151ea179760ac
hex10999a611dd

1140744131037 has 40 divisors (see below), whose sum is σ = 1974943631232. Its totient is φ = 642672727200.

The previous prime is 1140744131011. The next prime is 1140744131039. The reversal of 1140744131037 is 7301314470411.

1140744131037 is a `hidden beast` number, since 1 + 140 + 74 + 413 + 1 + 0 + 37 = 666.

It is not a de Polignac number, because 1140744131037 - 210 = 1140744130013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1140744130992 and 1140744131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140744131039) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14128014 + ... + 14208527.

Almost surely, 21140744131037 is an apocalyptic number.

It is an amenable number.

1140744131037 is a deficient number, since it is larger than the sum of its proper divisors (834199500195).

1140744131037 is an equidigital number, since it uses as much as digits as its factorization.

1140744131037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336631 (or 28336622 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1140744131037 in words is "one trillion, one hundred forty billion, seven hundred forty-four million, one hundred thirty-one thousand, thirty-seven".

Divisors: 1 3 7 9 21 27 63 71 81 189 213 497 567 639 1491 1917 4473 5751 13419 40257 28336541 85009623 198355787 255028869 595067361 765086607 1785202083 2011894411 2295259821 5355606249 6035683233 14083260877 16066818747 18107049699 42249782631 54321149097 126749347893 162963447291 380248043679 1140744131037