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420231303132024 = 23337212790093229
BaseRepresentation
bin101111110001100101011100…
…1100010111111001101111000
32001002220201110001101011202010
41133203022321202333031320
5420040032202100211044
64045431332350005520
7154341465304103646
oct13743127142771570
92032821401334663
10420231303132024
1111199810523527a
123b16b7851a68a0
13150638461a9487
1475ab4370ca196
15338b2a9670bb9
hex17e32b98bf378

420231303132024 has 48 divisors (see below), whose sum is σ = 1079739670476600. Its totient is φ = 136291233437568.

The previous prime is 420231303131977. The next prime is 420231303132077.

It is a happy number.

420231303132024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4202313031320242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420231303131982 and 420231303132000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6395013759 + ... + 6395079470.

Almost surely, 2420231303132024 is an apocalyptic number.

It is an amenable number.

420231303132024 is an abundant number, since it is smaller than the sum of its proper divisors (659508367344576).

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

420231303132024 is a wasteful number, since it uses less digits than its factorization.

420231303132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790093312 (or 12790093271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 42023130 and 3132024, that added together give a palindrome (45155154).

The spelling of 420231303132024 in words is "four hundred twenty trillion, two hundred thirty-one billion, three hundred three million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 2738 4107 5476 8214 10952 16428 32856 12790093229 25580186458 38370279687 51160372916 76740559374 102320745832 153481118748 306962237496 473233449473 946466898946 1419700348419 1892933797892 2839400696838 3785867595784 5678801393676 11357602787352 17509637630501 35019275261002 52528912891503 70038550522004 105057825783006 140077101044008 210115651566012 420231303132024