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20143014304 = 257372639241
BaseRepresentation
bin10010110000100111…
…100000000110100000
31220222210122010222211
4102300213200012200
5312223102424204
613130434411504
71312106540140
oct226047400640
956883563884
1020143014304
1185a722a866
123aa1a30b94
131b901cbc9a
14d912b2920
157cd5ba804
hex4b09e01a0

20143014304 has 96 divisors (see below), whose sum is σ = 46728734976. Its totient is φ = 8366561280.

The previous prime is 20143014301. The next prime is 20143014323. The reversal of 20143014304 is 40341034102.

It is a super-2 number, since 2×201430143042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20143014301) 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, 2175124 + ... + 2184364.

It is an arithmetic number, because the mean of its divisors is an integer number (486757656).

Almost surely, 220143014304 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 20143014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23364367488).

20143014304 is an abundant number, since it is smaller than the sum of its proper divisors (26585720672).

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

20143014304 is a wasteful number, since it uses less digits than its factorization.

20143014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20143014304 its reverse (40341034102), we get a palindrome (60484048406).

The spelling of 20143014304 in words is "twenty billion, one hundred forty-three million, fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 263 296 518 526 592 1036 1052 1184 1841 2072 2104 3682 4144 4208 7364 8288 8416 9241 9731 14728 18482 19462 29456 36964 38924 58912 64687 68117 73928 77848 129374 136234 147856 155696 258748 272468 295712 311392 341917 517496 544936 683834 1034992 1089872 1367668 2069984 2179744 2393419 2430383 2735336 4786838 4860766 5470672 9573676 9721532 10941344 17012681 19147352 19443064 34025362 38294704 38886128 68050724 76589408 77772256 89924171 136101448 179848342 272202896 359696684 544405792 629469197 719393368 1258938394 1438786736 2517876788 2877573472 5035753576 10071507152 20143014304