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44223013120 = 2851113241603
BaseRepresentation
bin101001001011111001…
…011010000100000000
311020010222101211102211
4221023321122010000
51211032042404440
632152112351504
73123613260256
oct511371320400
9136128354384
1044223013120
1117833813330
1286a2245594
134229c57cb0
1421d73b45d6
15123c60eeea
hexa4be5a100

44223013120 has 144 divisors (see below), whose sum is σ = 124447321152. Its totient is φ = 14844026880.

The previous prime is 44223013111. The next prime is 44223013129. The reversal of 44223013120 is 2131032244.

It is an interprime number because it is at equal distance from previous prime (44223013111) and next prime (44223013129).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 44223013091 and 44223013100.

It is not an unprimeable number, because it can be changed into a prime (44223013129) 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, 62239 + ... + 303841.

It is an arithmetic number, because the mean of its divisors is an integer number (864217508).

Almost surely, 244223013120 is an apocalyptic number.

44223013120 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 44223013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62223660576).

44223013120 is an abundant number, since it is smaller than the sum of its proper divisors (80224308032).

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

44223013120 is a wasteful number, since it uses less digits than its factorization.

44223013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241648 (or 241634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 44223013120 its reverse (2131032244), we get a palindrome (46354045364).

The spelling of 44223013120 in words is "forty-four billion, two hundred twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2816 2860 3328 3520 4160 4576 5720 7040 8320 9152 11440 14080 16640 18304 22880 36608 45760 91520 183040 241603 483206 966412 1208015 1932824 2416030 2657633 3140839 3865648 4832060 5315266 6281678 7731296 9664120 10630532 12563356 13288165 15462592 15704195 19328240 21261064 25126712 26576330 30925184 31408390 34549229 38656480 42522128 50253424 53152660 61850368 62816780 69098458 77312960 85044256 100506848 106305320 125633560 138196916 154625920 170088512 172746145 201013696 212610640 251267120 276393832 309251840 340177024 345492290 402027392 425221280 502534240 552787664 680354048 690984580 804054784 850442560 1005068480 1105575328 1381969160 1700885120 2010136960 2211150656 2763938320 3401770240 4020273920 4422301312 5527876640 8844602624 11055753280 22111506560 44223013120