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2024213242040 = 2351153611422977
BaseRepresentation
bin11101011101001100100…
…000101110000010111000
321011111211220022222202022
4131131030200232002320
5231131042042221130
64145524414454012
7266146614444323
oct35351440560270
97144756288668
102024213242040
11710511670a20
12288380b04308
13118b61aa3122
146dd885577ba
15379c3a917e5
hex1d74c82e0b8

2024213242040 has 128 divisors (see below), whose sum is σ = 5145260771520. Its totient is φ = 710349619200.

The previous prime is 2024213242013. The next prime is 2024213242087. The reversal of 2024213242040 is 402423124202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711032 + ... + 2134008.

Almost surely, 22024213242040 is an apocalyptic number.

2024213242040 is a gapful number since it is divisible by the number (20) 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 2024213242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572630385760).

2024213242040 is an abundant number, since it is smaller than the sum of its proper divisors (3121047529480).

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

2024213242040 is a wasteful number, since it uses less digits than its factorization.

2024213242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423113 (or 1423109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2024213242040 its reverse (402423124202), we get a palindrome (2426636366242).

The spelling of 2024213242040 in words is "two trillion, twenty-four billion, two hundred thirteen million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 61 88 106 110 122 212 220 244 265 305 424 440 488 530 583 610 671 1060 1166 1220 1342 2120 2332 2440 2684 2915 3233 3355 4664 5368 5830 6466 6710 11660 12932 13420 16165 23320 25864 26840 32330 35563 64660 71126 129320 142252 177815 284504 355630 711260 1422520 1422977 2845954 5691908 7114885 11383816 14229770 15652747 28459540 31305494 56919080 62610988 75417781 78263735 86801597 125221976 150835562 156527470 173603194 301671124 313054940 347206388 377088905 434007985 603342248 626109880 694412776 754177810 829595591 868015970 954817567 1508355620 1659191182 1736031940 1909635134 3016711240 3318382364 3472063880 3819270268 4147977955 4600484641 4774087835 6636764728 7638540536 8295955910 9200969282 9548175670 16591911820 18401938564 19096351340 23002423205 33183823640 36803877128 38192702680 46004846410 50605331051 92009692820 101210662102 184019385640 202421324204 253026655255 404842648408 506053310510 1012106621020 2024213242040