Search a number
-
+
44044440880 = 24511157318793
BaseRepresentation
bin101001000001010000…
…001101010100110000
311012200112101102101011
4221001100031110300
51210200334102010
632122253120304
73116314366426
oct510120152460
9135615342334
1044044440880
1117751a36370
128652489094
1341cbc63c4b
1421bb7ad116
15122bad9a8a
hexa4140d530

44044440880 has 80 divisors (see below), whose sum is σ = 112424616864. Its totient is φ = 15914096640.

The previous prime is 44044440877. The next prime is 44044440883. The reversal of 44044440880 is 8804444044.

It is an interprime number because it is at equal distance from previous prime (44044440877) and next prime (44044440883).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44044440883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21237 + ... + 297556.

Almost surely, 244044440880 is an apocalyptic number.

44044440880 is a gapful number since it is divisible by the number (40) 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 44044440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56212308432).

44044440880 is an abundant number, since it is smaller than the sum of its proper divisors (68380175984).

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

44044440880 is a wasteful number, since it uses less digits than its factorization.

44044440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318974 (or 318968 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 44044440880 in words is "forty-four billion, forty-four million, four hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 157 176 220 314 440 628 785 880 1256 1570 1727 2512 3140 3454 6280 6908 8635 12560 13816 17270 27632 34540 69080 138160 318793 637586 1275172 1593965 2550344 3187930 3506723 5100688 6375860 7013446 12751720 14026892 17533615 25503440 28053784 35067230 50050501 56107568 70134460 100101002 140268920 200202004 250252505 280537840 400404008 500505010 550555511 800808016 1001010020 1101111022 2002020040 2202222044 2752777555 4004040080 4404444088 5505555110 8808888176 11011110220 22022220440 44044440880