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20234054144 = 29318231549
BaseRepresentation
bin10010110110000010…
…110010101000000000
31221020010221110011202
4102312002302220000
5312414404213034
613143450000332
71314263423333
oct226602625000
957203843152
1020234054144
1186436613a7
123b084160a8
131ba6026305
14d9d41061a
157d65a047e
hex4b60b2a00

20234054144 has 80 divisors (see below), whose sum is σ = 41810419200. Its totient is φ = 9772462080.

The previous prime is 20234054131. The next prime is 20234054149. The reversal of 20234054144 is 44145043202.

It is not an unprimeable number, because it can be changed into a prime (20234054149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13061882 + ... + 13063430.

It is an arithmetic number, because the mean of its divisors is an integer number (522630240).

Almost surely, 220234054144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20234054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20905209600).

20234054144 is an abundant number, since it is smaller than the sum of its proper divisors (21576365056).

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

20234054144 is an equidigital number, since it uses as much as digits as its factorization.

20234054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 20234054144 its reverse (44145043202), we get a palindrome (64379097346).

The spelling of 20234054144 in words is "twenty billion, two hundred thirty-four million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 823 992 1549 1646 1984 3098 3292 3968 6196 6584 7936 12392 13168 15872 24784 25513 26336 48019 49568 51026 52672 96038 99136 102052 105344 192076 198272 204104 210688 384152 396544 408208 421376 768304 793088 816416 1274827 1536608 1632832 2549654 3073216 3265664 5099308 6146432 6531328 10198616 12292864 13062656 20397232 24585728 39519637 40794464 79039274 81588928 158078548 163177856 316157096 326355712 632314192 652711424 1264628384 2529256768 5058513536 10117027072 20234054144