Search a number
-
+
2024114021720 = 235724071300319
BaseRepresentation
bin11101011101000110100…
…110001110010101011000
321011111120222122002001122
4131131012212032111120
5231130341142143340
64145510512104412
7266144301210260
oct35350646162530
97144528562048
102024114021720
1171047066225a
12288353835108
13118b4737348b
146dd792ca7a0
15379b9ee2db5
hex1d74698e558

2024114021720 has 64 divisors (see below), whose sum is σ = 5205098188800. Its totient is φ = 693950808960.

The previous prime is 2024114021717. The next prime is 2024114021723. The reversal of 2024114021720 is 271204114202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2024114021717) and next prime (2024114021723).

It is a self number, because there is not a number n which added to its sum of digits gives 2024114021720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024114021723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6589721 + ... + 6890039.

It is an arithmetic number, because the mean of its divisors is an integer number (81329659200).

Almost surely, 22024114021720 is an apocalyptic number.

2024114021720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024114021720 is an abundant number, since it is smaller than the sum of its proper divisors (3180984167080).

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

2024114021720 is a wasteful number, since it uses less digits than its factorization.

2024114021720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324408 (or 324404 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 2024114021720 its reverse (271204114202), we get a palindrome (2295318135922).

The spelling of 2024114021720 in words is "two trillion, twenty-four billion, one hundred fourteen million, twenty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 24071 48142 96284 120355 168497 192568 240710 300319 336994 481420 600638 673988 842485 962840 1201276 1347976 1501595 1684970 2102233 2402552 3003190 3369940 4204466 6006380 6739880 8408932 10511165 12012760 16817864 21022330 42044660 84089320 7228978649 14457957298 28915914596 36144893245 50602850543 57831829192 72289786490 101205701086 144579572980 202411402172 253014252715 289159145960 404822804344 506028505430 1012057010860 2024114021720