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44490240336 = 2433743837019
BaseRepresentation
bin101001011011110100…
…110011000101010000
311020211121020101021010
4221123310303011100
51212104000142321
632234420130520
73133336542333
oct513364630520
9136747211233
1044490240336
1117960643073
128757836a40
13427041c9c9
142220a9661a
151255ce8676
hexa5bd33150

44490240336 has 160 divisors (see below), whose sum is σ = 122257175040. Its totient is φ = 13921915392.

The previous prime is 44490240281. The next prime is 44490240367. The reversal of 44490240336 is 63304209444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44490240294 and 44490240303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6335035 + ... + 6342053.

It is an arithmetic number, because the mean of its divisors is an integer number (764107344).

Almost surely, 244490240336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44490240336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61128587520).

44490240336 is an abundant number, since it is smaller than the sum of its proper divisors (77766934704).

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

44490240336 is a wasteful number, since it uses less digits than its factorization.

44490240336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 44490240336 in words is "forty-four billion, four hundred ninety million, two hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 83 86 111 129 148 166 172 222 249 258 296 332 344 444 498 516 592 664 688 888 996 1032 1328 1591 1776 1992 2064 3071 3182 3569 3984 4773 6142 6364 7019 7138 9213 9546 10707 12284 12728 14038 14276 18426 19092 21057 21414 24568 25456 28076 28552 36852 38184 42114 42828 49136 56152 57104 73704 76368 84228 85656 112304 132053 147408 168456 171312 259703 264106 301817 336912 396159 519406 528212 582577 603634 779109 792318 905451 1038812 1056424 1165154 1207268 1558218 1584636 1747731 1810902 2077624 2112848 2330308 2414536 3116436 3169272 3495462 3621804 4155248 4660616 4829072 6232872 6338544 6990924 7243608 9321232 11167229 12465744 13981848 14487216 21555349 22334458 25050811 27963696 33501687 43110698 44668916 50101622 64666047 67003374 75152433 86221396 89337832 100203244 129332094 134006748 150304866 172442792 178675664 200406488 258664188 268013496 300609732 344885584 400812976 517328376 536026992 601219464 926880007 1034656752 1202438928 1853760014 2780640021 3707520028 5561280042 7415040056 11122560084 14830080112 22245120168 44490240336