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402431020120 = 235131691111143
BaseRepresentation
bin1011101101100101100…
…00100000110001011000
31102110202002221222200001
411312302300200301120
523043134320120440
6504512501222344
741034421142143
oct5666260406130
91373662858601
10402431020120
11145740901838
1265bb14019b4
132bc4519839c
1415698db905a
15a70504ab9a
hex5db2c20c58

402431020120 has 64 divisors (see below), whose sum is σ = 913710378240. Its totient is φ = 159510998400.

The previous prime is 402431020111. The next prime is 402431020153. The reversal of 402431020120 is 21020134204.

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 15 ways as a sum of consecutive naturals, for example, 3565269 + ... + 3676411.

It is an arithmetic number, because the mean of its divisors is an integer number (14276724660).

Almost surely, 2402431020120 is an apocalyptic number.

402431020120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402431020120 is an abundant number, since it is smaller than the sum of its proper divisors (511279358120).

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

402431020120 is a wasteful number, since it uses less digits than its factorization.

402431020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111976 (or 111972 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 402431020120 its reverse (21020134204), we get a palindrome (423451154324).

The spelling of 402431020120 in words is "four hundred two billion, four hundred thirty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 691 1048 1310 1382 2620 2764 3455 5240 5528 6910 13820 27640 90521 111143 181042 222286 362084 444572 452605 555715 724168 889144 905210 1111430 1810420 2222860 3620840 4445720 14559733 29119466 58238932 72798665 76799813 116477864 145597330 153599626 291194660 307199252 383999065 582389320 614398504 767998130 1535996260 3071992520 10060775503 20121551006 40243102012 50303877515 80486204024 100607755030 201215510060 402431020120