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14421022440 = 23351189122753
BaseRepresentation
bin11010110111000111…
…10101011011101000
31101020000200211210020
431123203311123220
5214013240204230
610342552320440
71020236445126
oct153343653350
941200624706
1014421022440
116130322670
1229656a3120
13148a901096
149ab390916
1559609a810
hex35b8f56e8

14421022440 has 128 divisors (see below), whose sum is σ = 47726755200. Its totient is φ = 3456696320.

The previous prime is 14421022411. The next prime is 14421022453. The reversal of 14421022440 is 4422012441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14421022440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56104 + ... + 178856.

It is an arithmetic number, because the mean of its divisors is an integer number (372865275).

Almost surely, 214421022440 is an apocalyptic number.

14421022440 is a gapful number since it is divisible by the number (10) 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 14421022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863377600).

14421022440 is an abundant number, since it is smaller than the sum of its proper divisors (33305732760).

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

14421022440 is a wasteful number, since it uses less digits than its factorization.

14421022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122867 (or 122863 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14421022440 its reverse (4422012441), we get a palindrome (18843034881).

Subtracting from 14421022440 its reverse (4422012441), we obtain a palindrome (9999009999).

The spelling of 14421022440 in words is "fourteen billion, four hundred twenty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4895 5340 5874 7832 9790 10680 11748 14685 19580 23496 29370 39160 58740 117480 122753 245506 368259 491012 613765 736518 982024 1227530 1350283 1473036 1841295 2455060 2700566 2946072 3682590 4050849 4910120 5401132 6751415 7365180 8101698 10802264 10925017 13502830 14730360 16203396 20254245 21850034 27005660 32406792 32775051 40508490 43700068 54011320 54625085 65550102 81016980 87400136 109250170 120175187 131100204 162033960 163875255 218500340 240350374 262200408 327750510 360525561 437000680 480700748 600875935 655501020 721051122 961401496 1201751870 1311002040 1442102244 1802627805 2403503740 2884204488 3605255610 4807007480 7210511220 14421022440