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24122430420 = 22351147976303
BaseRepresentation
bin10110011101110011…
…110001001111010100
32022021010121102122220
4112131303301033110
5343400320233140
615025351222340
71512530163324
oct263563611724
968233542586
1024122430420
11a259535010
1248126779b0
13237579458a
14124b9c9284
15962b26bd0
hex59dcf13d4

24122430420 has 96 divisors (see below), whose sum is σ = 73837854720. Its totient is φ = 5835576960.

The previous prime is 24122430407. The next prime is 24122430421. The reversal of 24122430420 is 2403422142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24122430421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277989 + ... + 354291.

It is an arithmetic number, because the mean of its divisors is an integer number (769144320).

Almost surely, 224122430420 is an apocalyptic number.

24122430420 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 24122430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918927360).

24122430420 is an abundant number, since it is smaller than the sum of its proper divisors (49715424300).

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

24122430420 is a wasteful number, since it uses less digits than its factorization.

24122430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76805 (or 76803 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24122430420 its reverse (2403422142), we get a palindrome (26525852562).

The spelling of 24122430420 in words is "twenty-four billion, one hundred twenty-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 479 660 958 1437 1916 2395 2874 4790 5269 5748 7185 9580 10538 14370 15807 21076 26345 28740 31614 52690 63228 76303 79035 105380 152606 158070 228909 305212 316140 381515 457818 763030 839333 915636 1144545 1526060 1678666 2289090 2517999 3357332 4196665 4578180 5035998 8393330 10071996 12589995 16786660 25179990 36549137 50359980 73098274 109647411 146196548 182745685 219294822 365491370 402040507 438589644 548237055 730982740 804081014 1096474110 1206121521 1608162028 2010202535 2192948220 2412243042 4020405070 4824486084 6030607605 8040810140 12061215210 24122430420