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20143104432 = 24311172977383
BaseRepresentation
bin10010110000100111…
…110110000110110000
31220222210210201121220
4102300213312012300
5312223113320212
613130440345040
71312110363663
oct226047660660
956883721556
1020143104432
1185a7291550
123aa1a75180
131b90231009
14d912d76da
157cd5d738c
hex4b09f61b0

20143104432 has 160 divisors (see below), whose sum is σ = 62179591680. Its totient is φ = 5546741760.

The previous prime is 20143104431. The next prime is 20143104433. The reversal of 20143104432 is 23440134102.

It is an interprime number because it is at equal distance from previous prime (20143104431) and next prime (20143104433).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20143104431) 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, 221613 + ... + 298995.

It is an arithmetic number, because the mean of its divisors is an integer number (388622448).

Almost surely, 220143104432 is an apocalyptic number.

20143104432 is a gapful number since it is divisible by the number (22) 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 20143104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089795840).

20143104432 is an abundant number, since it is smaller than the sum of its proper divisors (42036487248).

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

20143104432 is a wasteful number, since it uses less digits than its factorization.

20143104432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77451 (or 77445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20143104432 its reverse (23440134102), we get a palindrome (43583238534).

The spelling of 20143104432 in words is "twenty billion, one hundred forty-three million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 87 88 102 116 132 136 174 176 187 204 232 264 272 319 348 374 408 464 493 528 561 638 696 748 816 957 986 1122 1276 1392 1479 1496 1914 1972 2244 2552 2958 2992 3828 3944 4488 5104 5423 5916 7656 7888 8976 10846 11832 15312 16269 21692 23664 32538 43384 65076 77383 86768 130152 154766 232149 260304 309532 464298 619064 851213 928596 1238128 1315511 1702426 1857192 2244107 2553639 2631022 3404852 3714384 3946533 4488214 5107278 5262044 6732321 6809704 7893066 8976428 10214556 10524088 13464642 13619408 14470621 15786132 17952856 20429112 21048176 24685177 26929284 28941242 31572264 35905712 38149819 40858224 43411863 49370354 53858568 57882484 63144528 74055531 76299638 86823726 98740708 107717136 114449457 115764968 148111062 152599276 173647452 197481416 228898914 231529936 296222124 305198552 347294904 394962832 419648009 457797828 592444248 610397104 694589808 839296018 915595656 1184888496 1258944027 1678592036 1831191312 2517888054 3357184072 5035776108 6714368144 10071552216 20143104432