Search a number
-
+
5035400040 = 2335113814697
BaseRepresentation
bin1001011000010001…
…00001101101101000
3110222220222211021210
410230020201231220
540303030300130
62151354033120
7235532123406
oct45410415550
913886884253
105035400040
112154396640
12b864187a0
136232a4768
1435aa78476
151e70ea5b0
hex12c221b68

5035400040 has 64 divisors (see below), whose sum is σ = 16479495360. Its totient is φ = 1220702720.

The previous prime is 5035400023. The next prime is 5035400053. The reversal of 5035400040 is 400045305.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1906029 + ... + 1908668.

It is an arithmetic number, because the mean of its divisors is an integer number (257492115).

Almost surely, 25035400040 is an apocalyptic number.

It is an amenable number.

5035400040 is an abundant number, since it is smaller than the sum of its proper divisors (11444095320).

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

5035400040 is a wasteful number, since it uses less digits than its factorization.

5035400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814722 (or 3814718 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5035400040 is about 70960.5527035972. The cubic root of 5035400040 is about 1714.0020078521.

Adding to 5035400040 its reverse (400045305), we get a palindrome (5435445345).

The spelling of 5035400040 in words is "five billion, thirty-five million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3814697 7629394 11444091 15258788 19073485 22888182 30517576 38146970 41961667 45776364 57220455 76293940 83923334 91552728 114440910 125885001 152587880 167846668 209808335 228881820 251770002 335693336 419616670 457763640 503540004 629425005 839233340 1007080008 1258850010 1678466680 2517700020 5035400040