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4430014011220 = 2257472753244553
BaseRepresentation
bin100000001110111000101…
…1010010101011101010100
3120200111122021220211002011
41000131301122111131110
51040040132041324340
613231041554354004
7635025606540040
oct100356132253524
916614567824064
104430014011220
111458838467916
125b669688b904
13261996696415
141145b1757020
157a37c8490ea
hex40771695754

4430014011220 has 96 divisors (see below), whose sum is σ = 10862235675648. Its totient is φ = 1485999685632.

The previous prime is 4430014011187. The next prime is 4430014011263. The reversal of 4430014011220 is 221104100344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4430014011191 and 4430014011200.

It is a congruent number.

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, 17992464 + ... + 18237016.

It is an arithmetic number, because the mean of its divisors is an integer number (113148288288).

Almost surely, 24430014011220 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 4430014011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431117837824).

4430014011220 is an abundant number, since it is smaller than the sum of its proper divisors (6432221664428).

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

4430014011220 is a wasteful number, since it uses less digits than its factorization.

4430014011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247369 (or 247367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4430014011220 its reverse (221104100344), we get a palindrome (4651118111564).

The spelling of 4430014011220 in words is "four trillion, four hundred thirty billion, fourteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 2753 3290 5506 6580 11012 13765 19271 27530 38542 55060 77084 96355 129391 192710 244553 258782 385420 489106 517564 646955 905737 978212 1222765 1293910 1711871 1811474 2445530 2587820 3423742 3622948 4528685 4891060 6847484 8559355 9057370 11493991 17118710 18114740 22987982 34237420 45975964 57469955 80457937 114939910 160915874 229879820 321831748 402289685 673254409 804579370 1346508818 1609158740 2693017636 3366272045 4712780863 6732544090 9425561726 13465088180 18851123452 23563904315 31642957223 47127808630 63285914446 94255617260 126571828892 158214786115 221500700561 316429572230 443001401122 632859144460 886002802244 1107503502805 2215007005610 4430014011220