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20144431020 = 22357431115417
BaseRepresentation
bin10010110000101100…
…111001111110101100
31220222220022010100210
4102300230321332230
5312223433243040
613130525022420
71312124560410
oct226054717654
956886263323
1020144431020
1185a80081aa
123aa23b4a10
131b905a6a8c
14d91560d40
157cd79a480
hex4b0b39fac

20144431020 has 96 divisors (see below), whose sum is σ = 65961358848. Its totient is φ = 4497357312.

The previous prime is 20144431003. The next prime is 20144431157. The reversal of 20144431020 is 2013444102.

It is a super-2 number, since 2×201444310202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539649 + ... + 575768.

It is an arithmetic number, because the mean of its divisors is an integer number (687097488).

Almost surely, 220144431020 is an apocalyptic number.

20144431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144431020 is an abundant number, since it is smaller than the sum of its proper divisors (45816927828).

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

20144431020 is a wasteful number, since it uses less digits than its factorization.

20144431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115479 (or 1115477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20144431020 its reverse (2013444102), we get a palindrome (22157875122).

The spelling of 20144431020 in words is "twenty billion, one hundred forty-four million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 1115417 2230834 3346251 4461668 5577085 6692502 7807919 11154170 13385004 15615838 16731255 22308340 23423757 31231676 33462510 39039595 46847514 47962931 66925020 78079190 93695028 95925862 117118785 143888793 156158380 191851724 234237570 239814655 287777586 335740517 468475140 479629310 575555172 671481034 719443965 959258620 1007221551 1342962068 1438887930 1678702585 2014443102 2877775860 3357405170 4028886204 5036107755 6714810340 10072215510 20144431020