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42300044120 = 23553103307631
BaseRepresentation
bin100111011001010001…
…110111001101011000
311001011221222212212202
4213121101313031120
51143112302402440
631233220425332
73025143304535
oct473121671530
9131157885782
1042300044120
1116a372aa254
128246248248
133cb1741809
142093c4bd8c
1511788b6615
hex9d9477358

42300044120 has 128 divisors (see below), whose sum is σ = 98386928640. Its totient is φ = 16360081920.

The previous prime is 42300044117. The next prime is 42300044153. The reversal of 42300044120 is 2144000324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42300044092 and 42300044101.

It is a congruent number.

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, 67036205 + ... + 67036835.

It is an arithmetic number, because the mean of its divisors is an integer number (768647880).

Almost surely, 242300044120 is an apocalyptic number.

42300044120 is a gapful number since it is divisible by the number (40) 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 42300044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49193464320).

42300044120 is an abundant number, since it is smaller than the sum of its proper divisors (56086884520).

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

42300044120 is a wasteful number, since it uses less digits than its factorization.

42300044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42300044120 its reverse (2144000324), we get a palindrome (44444044444).

The spelling of 42300044120 in words is "forty-two billion, three hundred million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 103 106 206 212 265 307 412 424 515 530 614 631 824 1030 1060 1228 1262 1535 2060 2120 2456 2524 3070 3155 4120 5048 5459 6140 6310 10918 12280 12620 16271 21836 25240 27295 31621 32542 33443 43672 54590 63242 64993 65084 66886 81355 109180 126484 129986 130168 133772 158105 162710 167215 193717 218360 252968 259972 267544 316210 324965 325420 334430 387434 519944 632420 649930 650840 668860 774868 968585 1264840 1299860 1337720 1549736 1675913 1937170 2599720 3351826 3444629 3874340 6703652 6889258 7748680 8379565 10267001 13407304 13778516 16759130 17223145 19952851 20534002 27557032 33518260 34446290 39905702 41068004 51335005 67036520 68892580 79811404 82136008 99764255 102670010 137785160 159622808 199528510 205340020 399057020 410680040 798114040 1057501103 2115002206 4230004412 5287505515 8460008824 10575011030 21150022060 42300044120