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420131486120 = 23519631876077
BaseRepresentation
bin1100001110100011100…
…10011011100110101000
31111011102200111211021212
412013101302123212220
523340412130023440
6521001123452252
742232151465243
oct6072162334650
91434380454255
10420131486120
111521a42a8935
1269511227088
1330806331cc8
1416497b1425a
15addde88465
hex61d1c9b9a8

420131486120 has 64 divisors (see below), whose sum is σ = 996626332800. Its totient is φ = 158955229440.

The previous prime is 420131486087. The next prime is 420131486129. The reversal of 420131486120 is 21684131024.

It is not an unprimeable number, because it can be changed into a prime (420131486129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41522 + ... + 917598.

It is an arithmetic number, because the mean of its divisors is an integer number (15572286450).

Almost surely, 2420131486120 is an apocalyptic number.

420131486120 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 420131486120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498313166400).

420131486120 is an abundant number, since it is smaller than the sum of its proper divisors (576494846680).

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

420131486120 is a wasteful number, since it uses less digits than its factorization.

420131486120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876738 (or 876734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 420131486120 in words is "four hundred twenty billion, one hundred thirty-one million, four hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 631 760 1262 2524 3155 5048 6310 11989 12620 23978 25240 47956 59945 95912 119890 239780 479560 876077 1752154 3504308 4380385 7008616 8760770 16645463 17521540 33290926 35043080 66581852 83227315 133163704 166454630 332909260 552804587 665818520 1105609174 2211218348 2764022935 4422436696 5528045870 10503287153 11056091740 21006574306 22112183480 42013148612 52516435765 84026297224 105032871530 210065743060 420131486120