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44344264040 = 23517223166783
BaseRepresentation
bin101001010011000111…
…111100010101101000
311020110102120000102122
4221103013330111220
51211304112422130
632212123250412
73126615011426
oct512307742550
9136412500378
1044344264040
11178961a99aa
128716979a08
1342490cc3bb
142209538116
1512480b12e5
hexa531fc568

44344264040 has 96 divisors (see below), whose sum is σ = 110597806080. Its totient is φ = 15968375808.

The previous prime is 44344264033. The next prime is 44344264067. The reversal of 44344264040 is 4046244344.

44344264040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 182489 + ... + 349271.

It is an arithmetic number, because the mean of its divisors is an integer number (1152060480).

Almost surely, 244344264040 is an apocalyptic number.

44344264040 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 44344264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55298903040).

44344264040 is an abundant number, since it is smaller than the sum of its proper divisors (66253542040).

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

44344264040 is a wasteful number, since it uses less digits than its factorization.

44344264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166851 (or 166830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

The spelling of 44344264040 in words is "forty-four billion, three hundred forty-four million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 289 340 391 460 578 680 782 920 1156 1445 1564 1955 2312 2890 3128 3910 5780 6647 7820 11560 13294 15640 26588 33235 53176 66470 132940 166783 265880 333566 667132 833915 1334264 1667830 2835311 3335660 3836009 5670622 6671320 7672018 11341244 14176555 15344036 19180045 22682488 28353110 30688072 38360090 48200287 56706220 65212153 76720180 96400574 113412440 130424306 153440360 192801148 241001435 260848612 326060765 385602296 482002870 521697224 652121530 964005740 1108606601 1304243060 1928011480 2217213202 2608486120 4434426404 5543033005 8868852808 11086066010 22172132020 44344264040