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44435700040 = 2358396713841
BaseRepresentation
bin101001011000100100…
…101111100101001000
311020200210121110001011
4221120210233211020
51212001014400130
632225151133304
73132105134614
oct513044574510
9136623543034
1044435700040
1117932881146
128741514234
134262034b44
14221773a344
15125112352a
hexa5892f948

44435700040 has 64 divisors (see below), whose sum is σ = 101296863360. Its totient is φ = 17540705280.

The previous prime is 44435699977. The next prime is 44435700059. The reversal of 44435700040 is 4000753444.

It is a junction number, because it is equal to n+sod(n) for n = 44435699975 and 44435700011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3203520 + ... + 3217360.

It is an arithmetic number, because the mean of its divisors is an integer number (1582763490).

Almost surely, 244435700040 is an apocalyptic number.

44435700040 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 44435700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50648431680).

44435700040 is an abundant number, since it is smaller than the sum of its proper divisors (56861163320).

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

44435700040 is a wasteful number, since it uses less digits than its factorization.

44435700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14902 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The spelling of 44435700040 in words is "forty-four billion, four hundred thirty-five million, seven hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 967 1660 1934 3320 3868 4835 7736 9670 13841 19340 27682 38680 55364 69205 80261 110728 138410 160522 276820 321044 401305 553640 642088 802610 1148803 1605220 2297606 3210440 4595212 5744015 9190424 11488030 13384247 22976060 26768494 45952120 53536988 66921235 107073976 133842470 267684940 535369880 1110892501 2221785002 4443570004 5554462505 8887140008 11108925010 22217850020 44435700040