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4102223443520 = 265173181409397
BaseRepresentation
bin111011101100011111100…
…100100011011001000000
3112112011120000010200021212
4323230133210203121000
51014202323200143040
612420311353105252
7602242630641206
oct73543744433100
915464500120255
104102223443520
11134181a2097a4
125630563b8228
13239ab8157417
141027977c1076
1571a954e2d65
hex3bb1f923640

4102223443520 has 112 divisors (see below), whose sum is σ = 9879189688368. Its totient is φ = 1622387220480.

The previous prime is 4102223443499. The next prime is 4102223443541. The reversal of 4102223443520 is 253443222014.

4102223443520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4102223443499) and next prime (4102223443541).

It can be written as a sum of positive squares in 8 ways, for example, as 12509975104 + 4089713468416 = 111848^2 + 2022304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9815462 + ... + 10224858.

It is an arithmetic number, because the mean of its divisors is an integer number (88207050789).

Almost surely, 24102223443520 is an apocalyptic number.

4102223443520 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 4102223443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939594844184).

4102223443520 is an abundant number, since it is smaller than the sum of its proper divisors (5776966244848).

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

4102223443520 is a wasteful number, since it uses less digits than its factorization.

4102223443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409768 (or 409758 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4102223443520 its reverse (253443222014), we get a palindrome (4355666665534).

The spelling of 4102223443520 in words is "four trillion, one hundred two billion, two hundred twenty-three million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 181 320 346 362 692 724 865 905 1384 1448 1730 1810 2768 2896 3460 3620 5536 5792 6920 7240 11072 11584 13840 14480 27680 28960 31313 55360 57920 62626 125252 156565 250504 313130 409397 501008 626260 818794 1002016 1252520 1637588 2004032 2046985 2505040 3275176 4093970 5010080 6550352 8187940 10020160 13100704 16375880 26201408 32751760 65503520 70825681 74100857 131007040 141651362 148201714 283302724 296403428 354128405 370504285 566605448 592806856 708256810 741008570 1133210896 1185613712 1416513620 1482017140 2266421792 2371227424 2833027240 2964034280 4532843584 4742454848 5666054480 5928068560 11332108960 11856137120 12819448261 22664217920 23712274240 25638896522 51277793044 64097241305 102555586088 128194482610 205111172176 256388965220 410222344352 512777930440 820444688704 1025555860880 2051111721760 4102223443520