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44214331101220 = 22572611674428847
BaseRepresentation
bin10100000110110011100110…
…11111111101000000100100
312210112211220202101202210201
422003121303133331000210
521243401422230214340
6234011441105400244
712212244225255100
oct1203316337750044
9183484822352721
1044214331101220
11130a7213272345
124b6104a039084
131b8951678b2c7
14acbdb0d60900
1551a1b238379a
hex2836737fd024

44214331101220 has 144 divisors (see below), whose sum is σ = 110437328558592. Its totient is φ = 14821398869760.

The previous prime is 44214331101217. The next prime is 44214331101233. The reversal of 44214331101220 is 2210113341244.

It is a happy number.

44214331101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768837 + ... + 12197683.

It is an arithmetic number, because the mean of its divisors is an integer number (766925892768).

Almost surely, 244214331101220 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 44214331101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55218664279296).

44214331101220 is an abundant number, since it is smaller than the sum of its proper divisors (66222997457372).

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

44214331101220 is a wasteful number, since it uses less digits than its factorization.

44214331101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429098 (or 4429089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 44214331101220 its reverse (2210113341244), we get a palindrome (46424444442464).

The spelling of 44214331101220 in words is "forty-four trillion, two hundred fourteen billion, three hundred thirty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 167 196 244 245 305 334 427 490 610 668 835 854 980 1169 1220 1670 1708 2135 2338 2989 3340 4270 4676 5845 5978 8183 8540 10187 11690 11956 14945 16366 20374 23380 29890 32732 40748 40915 50935 59780 71309 81830 101870 142618 163660 203740 285236 356545 499163 713090 998326 1426180 1996652 2495815 4428847 4991630 8857694 9983260 17715388 22144235 31001929 44288470 62003858 88576940 124007716 155009645 217013503 270159667 310019290 434027006 540319334 620038580 739617449 868054012 1080638668 1085067515 1350798335 1479234898 1891117669 2170135030 2701596670 2958469796 3698087245 3782235338 4340270060 5177322143 5403193340 7396174490 7564470676 9455588345 10354644286 13237823683 14792348980 18911176690 20709288572 25886610715 26475647366 36241255001 37822353380 45116664389 51773221430 52951294732 66189118415 72482510002 90233328778 103546442860 132378236830 144965020004 180466657556 181206275005 225583321945 264756473660 315816650723 362412550010 451166643890 631633301446 724825100020 902333287780 1263266602892 1579083253615 2210716555061 3158166507230 4421433110122 6316333014460 8842866220244 11053582775305 22107165550610 44214331101220