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24020222202042 = 231173137361710061
BaseRepresentation
bin1010111011000101001001…
…10011111101000010111010
310011001022101120210111201220
411131202210303331002322
511122021403340431132
6123030423204052510
75026255332636213
oct535424463750272
9104038346714656
1024020222202042
117720a12255380
12283b343994136
131053135815ba1
145d08291a440a
152b9c4b34ea2c
hex15d8a4cfd0ba

24020222202042 has 128 divisors (see below), whose sum is σ = 53533565998848. Its totient is φ = 7124063846400.

The previous prime is 24020222202017. The next prime is 24020222202049.

24020222202042 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (24020222202049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2387453692 + ... + 2387463752.

It is an arithmetic number, because the mean of its divisors is an integer number (418230984366).

Almost surely, 224020222202042 is an apocalyptic number.

24020222202042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24020222202042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26766782999424).

24020222202042 is an abundant number, since it is smaller than the sum of its proper divisors (29513343796806).

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

24020222202042 is a wasteful number, since it uses less digits than its factorization.

24020222202042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 2402022 and 2202042, that added together give a palindrome (4604064).

The spelling of 24020222202042 in words is "twenty-four trillion, twenty billion, two hundred twenty-two million, two hundred two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 73 137 146 219 274 411 438 803 822 1507 1606 2409 3014 3617 4521 4818 7234 9042 10001 10061 10851 20002 20122 21702 30003 30183 39787 60006 60366 79574 110011 110671 119361 220022 221342 238722 264041 330033 332013 495529 528082 660066 664026 734453 792123 991058 1378357 1468906 1486587 1584246 2203359 2756714 2904451 2973174 4135071 4406718 5450819 5808902 8078983 8270142 8713353 10901638 15161927 16157966 16352457 17426706 24236949 30323854 32704914 36173617 36390637 45485781 48473898 72347234 72781274 90971562 100620061 108520851 109171911 201240122 217041702 218343822 301860183 397909787 400297007 603720366 795819574 800594014 1106820671 1193729361 1200891021 2213641342 2387458722 2401782042 2656516501 3320462013 4985517269 5313033002 6640924026 7969549503 9971034538 14956551807 15939099006 29221681511 29913103614 54840689959 58443363022 87665044533 109681379918 164522069877 175330089066 329044139754 363942760637 727885521274 1091828281911 2183656563822 4003370367007 8006740734014 12010111101021 24020222202042