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44142432432 = 24372137136993
BaseRepresentation
bin101001000111000110…
…000001000010110000
311012221100202220111220
4221013012001002300
51210400430314212
632140113305040
73121614325200
oct510706010260
9135840686456
1044142432432
11177a228591a
12867b265180
134216353507
1421ca7da400
1512354e438c
hexa471810b0

44142432432 has 120 divisors (see below), whose sum is σ = 133621755696. Its totient is φ = 12519972864.

The previous prime is 44142432419. The next prime is 44142432449. The reversal of 44142432432 is 23423424144.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44142432393 and 44142432402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253728 + ... + 390720.

Almost surely, 244142432432 is an apocalyptic number.

44142432432 is a gapful number since it is divisible by the number (42) 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 44142432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66810877848).

44142432432 is an abundant number, since it is smaller than the sum of its proper divisors (89479323264).

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

44142432432 is a wasteful number, since it uses less digits than its factorization.

44142432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137155 (or 137142 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 44142432432 its reverse (23423424144), we get a palindrome (67565856576).

The spelling of 44142432432 in words is "forty-four billion, one hundred forty-two million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 137 147 168 196 274 294 336 392 411 548 588 784 822 959 1096 1176 1644 1918 2192 2352 2877 3288 3836 5754 6576 6713 7672 11508 13426 15344 20139 23016 26852 40278 46032 53704 80556 107408 136993 161112 273986 322224 410979 547972 821958 958951 1095944 1643916 1917902 2191888 2876853 3287832 3835804 5753706 6575664 6712657 7671608 11507412 13425314 15343216 18768041 20137971 23014824 26850628 37536082 40275942 46029648 53701256 56304123 75072164 80551884 107402512 112608246 131376287 150144328 161103768 225216492 262752574 300288656 322207536 394128861 450432984 525505148 788257722 900865968 919634009 1051010296 1576515444 1839268018 2102020592 2758902027 3153030888 3678536036 5517804054 6306061776 7357072072 11035608108 14714144144 22071216216 44142432432