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420244442424 = 233243135737869
BaseRepresentation
bin1100001110110001000…
…01010100110100111000
31111011201120001121012200
412013120201110310320
523341130034124144
6521020240510200
742235022552022
oct6073041246470
91434646047180
10420244442424
11152252039654
126954301b360
1330823860b61
14164a8b19012
15ade8d4bc69
hex61d8854d38

420244442424 has 48 divisors (see below), whose sum is σ = 1164630924600. Its totient is φ = 136823770944.

The previous prime is 420244442413. The next prime is 420244442441. The reversal of 420244442424 is 424244442024.

420244442424 is a `hidden beast` number, since 4 + 202 + 4 + 4 + 4 + 424 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67865839 + ... + 67872030.

Almost surely, 2420244442424 is an apocalyptic number.

It is an amenable number.

420244442424 is an abundant number, since it is smaller than the sum of its proper divisors (744386482176).

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

420244442424 is a wasteful number, since it uses less digits than its factorization.

420244442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135737924 (or 135737917 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 420244442424 its reverse (424244442024), we get a palindrome (844488884448).

The spelling of 420244442424 in words is "four hundred twenty billion, two hundred forty-four million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 135737869 271475738 407213607 542951476 814427214 1085902952 1221640821 1628854428 2443281642 3257708856 4886563284 5836728367 9773126568 11673456734 17510185101 23346913468 35020370202 46693826936 52530555303 70040740404 105061110606 140081480808 210122221212 420244442424