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10342044341420 = 22511383520923563
BaseRepresentation
bin1001011001111111000111…
…1000010001010010101100
31100121200121212000010021212
42112133301320101102230
52323421001322411140
633555023010213552
72115121333311551
oct226376170212254
940550555003255
1010342044341420
113328044461320
1211b04358842b8
135a033473a65c
1427a7b415aa28
1512e048809765
hex967f1e114ac

10342044341420 has 96 divisors (see below), whose sum is σ = 23760112803840. Its totient is φ = 3750044981760.

The previous prime is 10342044341371. The next prime is 10342044341467. The reversal of 10342044341420 is 2414344024301.

10342044341420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 438898559 + ... + 438922121.

It is an arithmetic number, because the mean of its divisors is an integer number (247501175040).

Almost surely, 210342044341420 is an apocalyptic number.

10342044341420 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 10342044341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880056401920).

10342044341420 is an abundant number, since it is smaller than the sum of its proper divisors (13418068462420).

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

10342044341420 is a wasteful number, since it uses less digits than its factorization.

10342044341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29175 (or 29173 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10342044341420 its reverse (2414344024301), we get a palindrome (12756388365721).

The spelling of 10342044341420 in words is "ten trillion, three hundred forty-two billion, forty-four million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 1532 1915 3830 4213 5209 7660 8426 10418 16852 20836 21065 23563 26045 42130 47126 52090 57299 84260 94252 104180 114598 117815 229196 235630 259193 286495 471260 518386 572990 1036772 1145980 1295965 1995047 2591930 3990094 5183860 7980188 9024629 9975235 18049258 19950470 21945517 36098516 39900940 43891034 45123145 87782068 90246290 99270919 109727585 122739667 180492580 198541838 219455170 245479334 397083676 438910340 490958668 496354595 613698335 992709190 1227396670 1350136337 1985418380 2454793340 2700272674 5400545348 6750681685 13501363370 27002726740 47009292461 94018584922 188037169844 235046462305 470092924610 517102217071 940185849220 1034204434142 2068408868284 2585511085355 5171022170710 10342044341420