Search a number
-
+
444040040004 = 2231122914689693
BaseRepresentation
bin1100111011000101101…
…10010100111001000100
31120110010220200012111120
412131202312110321010
524233343222240004
6535553355033540
744036504031051
oct6354266247104
91513126605446
10444040040004
11161353032280
127208413b8b0
1332b466c1102
14176c5148028
15b83ce143d9
hex6762d94e44

444040040004 has 48 divisors (see below), whose sum is σ = 1135219552320. Its totient is φ = 133969991040.

The previous prime is 444040039997. The next prime is 444040040021. The reversal of 444040040004 is 400040040444.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7314619 + ... + 7375074.

It is an arithmetic number, because the mean of its divisors is an integer number (23650407340).

Almost surely, 2444040040004 is an apocalyptic number.

444040040004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444040040004 is an abundant number, since it is smaller than the sum of its proper divisors (691179512316).

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

444040040004 is a wasteful number, since it uses less digits than its factorization.

444040040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689940 (or 14689938 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444040040004 its reverse (400040040444), we get a palindrome (844080080448).

The spelling of 444040040004 in words is "four hundred forty-four billion, forty million, forty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 5038 7557 10076 15114 30228 14689693 29379386 44069079 58758772 88138158 161586623 176276316 323173246 484759869 646346492 969519738 1939039476 3363939697 6727879394 10091819091 13455758788 20183638182 37003336667 40367276364 74006673334 111010010001 148013346668 222020020002 444040040004