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420120420144 = 24367971346747
BaseRepresentation
bin1100001110100010010…
…00001101111100110000
31111011101220200121121220
412013101020031330300
523340401311421034
6521000050345040
742231655436025
oct6072110157460
91434356617556
10420120420144
1115219902a8a7
126950958b180
1330803c591a9
141649647354c
15addceee749
hex61d120df30

420120420144 has 80 divisors (see below), whose sum is σ = 1112866355328. Its totient is φ = 136527722496.

The previous prime is 420120420107. The next prime is 420120420149. The reversal of 420120420144 is 441024021024.

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

It is not an unprimeable number, because it can be changed into a prime (420120420149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361422 + ... + 985325.

Almost surely, 2420120420144 is an apocalyptic number.

It is an amenable number.

420120420144 is an abundant number, since it is smaller than the sum of its proper divisors (692745935184).

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

420120420144 is a wasteful number, since it uses less digits than its factorization.

420120420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346922 (or 1346916 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 420120420144 its reverse (441024021024), we get a palindrome (861144441168).

The spelling of 420120420144 in words is "four hundred twenty billion, one hundred twenty million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 97 134 194 201 268 291 388 402 536 582 776 804 1072 1164 1552 1608 2328 3216 4656 6499 12998 19497 25996 38994 51992 77988 103984 155976 311952 1346747 2693494 4040241 5386988 8080482 10773976 16160964 21547952 32321928 64643856 90232049 130634459 180464098 261268918 270696147 360928196 391903377 522537836 541392294 721856392 783806754 1045075672 1082784588 1443712784 1567613508 2090151344 2165569176 3135227016 4331138352 6270454032 8752508753 17505017506 26257526259 35010035012 52515052518 70020070024 105030105036 140040140048 210060210072 420120420144