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40383313936 = 247271772
BaseRepresentation
bin100101100111000010…
…000111100000010000
310212020101022220100221
4211213002013200100
51130201112021221
630315110322424
72626510335100
oct454702074020
9125211286327
1040383313936
1116143367519
1279b0359414
133a67600c44
141d5146b200
1510b54a1541
hex967087810

40383313936 has 45 divisors (see below), whose sum is σ = 91029667869. Its totient is φ = 17304723072.

The previous prime is 40383313909. The next prime is 40383313939. The reversal of 40383313936 is 63931338304.

The square root of 40383313936 is 200956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37705872400 + 2677441536 = 194180^2 + 51744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40383313892 and 40383313901.

It is not an unprimeable number, because it can be changed into a prime (40383313939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5623180 + ... + 5630356.

Almost surely, 240383313936 is an apocalyptic number.

40383313936 is the 200956-th square number.

It is an amenable number.

40383313936 is an abundant number, since it is smaller than the sum of its proper divisors (50646353933).

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

40383313936 is an frugal number, since it uses more digits than its factorization.

40383313936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 40383313936 in words is "forty billion, three hundred eighty-three million, three hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 7177 14354 28708 50239 57416 100478 114832 200956 351673 401912 703346 803824 1406692 2813384 5626768 51509329 103018658 206037316 360565303 412074632 721130606 824149264 1442261212 2523957121 2884522424 5047914242 5769044848 10095828484 20191656968 40383313936