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42043424520 = 23351393138053
BaseRepresentation
bin100111001001111110…
…111011111100001000
311000112002010020222010
4213021332323330020
51142101104041040
631151532255520
73015606132456
oct471176737410
9130462106863
1042043424520
1116915465139
1281943115a0
133c705220b6
14206bb2b9d6
1511610c5e80
hex9c9fbbf08

42043424520 has 128 divisors (see below), whose sum is σ = 127459382400. Its totient is φ = 11093981184.

The previous prime is 42043424503. The next prime is 42043424543. The reversal of 42043424520 is 2542434024.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5216814 + ... + 5224866.

It is an arithmetic number, because the mean of its divisors is an integer number (995776425).

Almost surely, 242043424520 is an apocalyptic number.

42043424520 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 42043424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63729691200).

42043424520 is an abundant number, since it is smaller than the sum of its proper divisors (85415957880).

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

42043424520 is a wasteful number, since it uses less digits than its factorization.

42043424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 42043424520 its reverse (2542434024), we get a palindrome (44585858544).

The spelling of 42043424520 in words is "forty-two billion, forty-three million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 313 417 556 626 695 834 939 1112 1252 1390 1565 1668 1878 2085 2504 2780 3130 3336 3756 4170 4695 5560 6260 7512 8053 8340 9390 12520 16106 16680 18780 24159 32212 37560 40265 43507 48318 64424 80530 87014 96636 120795 130521 161060 174028 193272 217535 241590 261042 322120 348056 435070 483180 522084 652605 870140 966360 1044168 1119367 1305210 1740280 2238734 2520589 2610420 3358101 4477468 5041178 5220840 5596835 6716202 7561767 8954936 10082356 11193670 12602945 13432404 15123534 16790505 20164712 22387340 25205890 26864808 30247068 33581010 37808835 44774680 50411780 60494136 67162020 75617670 100823560 134324040 151235340 302470680 350361871 700723742 1051085613 1401447484 1751809355 2102171226 2802894968 3503618710 4204342452 5255428065 7007237420 8408684904 10510856130 14014474840 21021712260 42043424520