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42330023120 = 24571117404221
BaseRepresentation
bin100111011011000100…
…001110010011010000
311001021001101222100002
4213123010032103100
51143142441214440
631240211145132
73025656155060
oct473304162320
9131231358302
1042330023120
1116a52215990
1282542a51a8
133cb7a0a078
142097c133a0
15117b339115
hex9db10e4d0

42330023120 has 160 divisors (see below), whose sum is σ = 129920184576. Its totient is φ = 12417638400.

The previous prime is 42330023119. The next prime is 42330023143. The reversal of 42330023120 is 2132003324.

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 = 42330023092 and 42330023101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97391 + ... + 306830.

Almost surely, 242330023120 is an apocalyptic number.

42330023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42330023120 is an abundant number, since it is smaller than the sum of its proper divisors (87590161456).

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

42330023120 is a wasteful number, since it uses less digits than its factorization.

42330023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404269 (or 404263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42330023120 its reverse (2132003324), we get a palindrome (44462026444).

The spelling of 42330023120 in words is "forty-two billion, three hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2992 3080 3740 4760 5236 6160 6545 7480 9520 10472 13090 14960 20944 26180 52360 104720 404221 808442 1616884 2021105 2829547 3233768 4042210 4446431 5659094 6467536 6871757 8084420 8892862 11318188 13743514 14147735 16168840 17785724 22232155 22636376 27487028 28295470 31125017 32337680 34358785 35571448 44464310 45272752 48102299 54974056 56590940 62250034 68717570 71142896 75589327 88928620 96204598 109948112 113181880 124500068 137435140 151178654 155625085 177857240 192409196 226363760 240511495 249000136 274870280 302357308 311250170 355714480 377946635 384818392 481022990 498000272 529125289 549740560 604714616 622500340 755893270 769636784 962045980 1058250578 1209429232 1245000680 1511786540 1924091960 2116501156 2490001360 2645626445 3023573080 3848183920 4233002312 5291252890 6047146160 8466004624 10582505780 21165011560 42330023120