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402120000021204 = 223244420925145821
BaseRepresentation
bin101101101101110011101101…
…1110000100010001011010100
31221201210022000012022122200200
41123123213123300202023110
5410201313230001134304
63543123213332540500
7150462132315531543
oct13333473360421324
91851708005278620
10402120000021204
11107145152846523
1239125672481730
131434b9a3ca601a
1471429d744815a
1531750e60b7e39
hex16db9dbc222d4

402120000021204 has 36 divisors (see below), whose sum is σ = 1016472328746420. Its totient is φ = 134039692926720.

The previous prime is 402120000021191. The next prime is 402120000021221.

402120000021204 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 376063160953104 + 26056839068100 = 19392348^2 + 5104590^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3418614 + ... + 28564434.

Almost surely, 2402120000021204 is an apocalyptic number.

It is an amenable number.

402120000021204 is an abundant number, since it is smaller than the sum of its proper divisors (614352328725216).

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

402120000021204 is a wasteful number, since it uses less digits than its factorization.

402120000021204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25590040 (or 25590035 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 4021200000 and 21204, that added together give a palindrome (4021221204).

The spelling of 402120000021204 in words is "four hundred two trillion, one hundred twenty billion, twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 444209 888418 1332627 1776836 2665254 3997881 5330508 7995762 15991524 25145821 50291642 75437463 100583284 150874926 226312389 301749852 452624778 905249556 11170000000589 22340000001178 33510000001767 44680000002356 67020000003534 100530000005301 134040000007068 201060000010602 402120000021204