Search a number
-
+
40734004003740 = 223252068211094183
BaseRepresentation
bin10010100001100000111111…
…10101101100001110011100
312100020010120202221202222100
421100300133311230032130
520314341220011104430
6222344535413245100
711402635410116265
oct1120603765541634
9170203522852870
1040734004003740
1111a85215365aa3
12469a633633790
13199627a7c0678
14a0b77190196c
154a98b91b4960
hex250c1fd6c39c

40734004003740 has 72 divisors (see below), whose sum is σ = 123560522493408. Its totient is φ = 10862338619520.

The previous prime is 40734004003733. The next prime is 40734004003747. The reversal of 40734004003740 is 4730040043704.

40734004003740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40734004003733) and next prime (40734004003747).

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 = 40734004003695 and 40734004003704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40734004003747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36680689 + ... + 37774871.

It is an arithmetic number, because the mean of its divisors is an integer number (1716118367964).

Almost surely, 240734004003740 is an apocalyptic number.

It is an amenable number.

40734004003740 is an abundant number, since it is smaller than the sum of its proper divisors (82826518489668).

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

40734004003740 is a wasteful number, since it uses less digits than its factorization.

40734004003740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301019 (or 1301014 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 40734004003740 in words is "forty trillion, seven hundred thirty-four billion, four million, three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 206821 413642 620463 827284 1034105 1094183 1240926 1861389 2068210 2188366 2481852 3102315 3282549 3722778 4136420 4376732 5470915 6204630 6565098 7445556 9306945 9847647 10941830 12409260 13130196 16412745 18613890 19695294 21883660 32825490 37227780 39390588 49238235 65650980 98476470 196952940 226300022243 452600044486 678900066729 905200088972 1131500111215 1357800133458 2036700200187 2263000222430 2715600266916 3394500333645 4073400400374 4526000444860 6789000667290 8146800800748 10183501000935 13578001334580 20367002001870 40734004003740