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402430120420 = 225533371126561
BaseRepresentation
bin1011101101100101011…
…01000101000111100100
31102110202001021021111211
411312302231011013210
523043134102323140
6504512430041204
741034410404126
oct5666255050744
91373661237454
10402430120420
11145740347889
1265bb1049204
132bc44c41a13
1415698c23216
15a704e1e2ea
hex5db2b451e4

402430120420 has 48 divisors (see below), whose sum is σ = 863604404208. Its totient is φ = 157466050560.

The previous prime is 402430120381. The next prime is 402430120427. The reversal of 402430120420 is 24021034204.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79831111936 + 322599008484 = 282544^2 + 567978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402430120391 and 402430120400.

It is not an unprimeable number, because it can be changed into a prime (402430120427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206061 + ... + 920500.

It is an arithmetic number, because the mean of its divisors is an integer number (17991758421).

Almost surely, 2402430120420 is an apocalyptic number.

It is an amenable number.

402430120420 is an abundant number, since it is smaller than the sum of its proper divisors (461174283788).

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

402430120420 is a wasteful number, since it uses less digits than its factorization.

402430120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126960 (or 1126958 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 402430120420 its reverse (24021034204), we get a palindrome (426451154624).

The spelling of 402430120420 in words is "four hundred two billion, four hundred thirty million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 337 530 674 1060 1348 1685 3370 6740 17861 35722 71444 89305 178610 357220 1126561 2253122 4506244 5632805 11265610 22531220 59707733 119415466 238830932 298538665 379651057 597077330 759302114 1194154660 1518604228 1898255285 3796510570 7593021140 20121506021 40243012042 80486024084 100607530105 201215060210 402430120420