Search a number
-
+
440472274044 = 2231183367109547
BaseRepresentation
bin1100110100011100011…
…00011000010001111100
31120002221021021220200120
412122032030120101330
524204041400232134
6534203345254540
743552212361035
oct6321614302174
91502837256616
10440472274044
1115a89212a970
1271449334450
13326c84b8aaa
1417467389a8c
15b6ceabd649
hex668e31847c

440472274044 has 96 divisors (see below), whose sum is σ = 1137812852736. Its totient is φ = 131507782080.

The previous prime is 440472274037. The next prime is 440472274061.

440472274044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4404722740442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440472273987 and 440472274005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3966079 + ... + 4075625.

It is an arithmetic number, because the mean of its divisors is an integer number (11852217216).

Almost surely, 2440472274044 is an apocalyptic number.

440472274044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440472274044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568906426368).

440472274044 is an abundant number, since it is smaller than the sum of its proper divisors (697340578692).

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

440472274044 is a wasteful number, since it uses less digits than its factorization.

440472274044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110015 (or 110013 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 42.

The spelling of 440472274044 in words is "four hundred forty billion, four hundred seventy-two million, two hundred seventy-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 367 498 734 913 996 1101 1468 1826 2202 2739 3652 4037 4404 5478 8074 10956 12111 16148 24222 30461 48444 60922 91383 109547 121844 182766 219094 328641 335071 365532 438188 657282 670142 1005213 1205017 1314564 1340284 2010426 2410034 3615051 4020852 4820068 7230102 9092401 14460204 18184802 27277203 36369604 40203749 54554406 80407498 100016411 109108812 120611247 160814996 200032822 241222494 300049233 400065644 442241239 482444988 600098466 884482478 1200196932 1326723717 1768964956 2653447434 3336911167 5306894868 6673822334 10010733501 13347644668 20021467002 36706022837 40042934004 73412045674 110118068511 146824091348 220236137022 440472274044