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20144103144 = 23311353216157
BaseRepresentation
bin10010110000101011…
…101001111011101000
31220222212200110121020
4102300223221323220
5312223342300034
613130514012440
71312122023454
oct226053517350
956885613536
1020144103144
1185a7903930
123aa2277120
131b904c0779
14d914b7664
157cd733249
hex4b0ae9ee8

20144103144 has 64 divisors (see below), whose sum is σ = 55094351040. Its totient is φ = 6086952960.

The previous prime is 20144103137. The next prime is 20144103157. The reversal of 20144103144 is 44130144102.

It is a super-2 number, since 2×201441031442 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14887 + ... + 201270.

It is an arithmetic number, because the mean of its divisors is an integer number (860849235).

Almost surely, 220144103144 is an apocalyptic number.

20144103144 is a gapful number since it is divisible by the number (24) 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 20144103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547175520).

20144103144 is an abundant number, since it is smaller than the sum of its proper divisors (34950247896).

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

20144103144 is a wasteful number, since it uses less digits than its factorization.

20144103144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216530 (or 216526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20144103144 its reverse (44130144102), we get a palindrome (64274247246).

The spelling of 20144103144 in words is "twenty billion, one hundred forty-four million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 353 706 1059 1412 2118 2824 3883 4236 7766 8472 11649 15532 23298 31064 46596 93192 216157 432314 648471 864628 1296942 1729256 2377727 2593884 4755454 5187768 7133181 9510908 14266362 19021816 28532724 57065448 76303421 152606842 228910263 305213684 457820526 610427368 839337631 915641052 1678675262 1831282104 2518012893 3357350524 5036025786 6714701048 10072051572 20144103144