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402211200042 = 23266541335809
BaseRepresentation
bin1011101101001011010…
…01111101110000101010
31102110011210022222012200
411312211221331300222
523042212031400132
6504435005521030
741026111535241
oct5664551756052
91373153288180
10402211200042
11145638811753
1265b4b873176
132bc0b791832
1415677b17958
15a6e0ac8d7c
hex5da5a7dc2a

402211200042 has 24 divisors (see below), whose sum is σ = 871473291780. Its totient is φ = 134067985920.

The previous prime is 402211199993. The next prime is 402211200101. The reversal of 402211200042 is 240002112204.

402211200042 is a `hidden beast` number, since 402 + 21 + 1 + 200 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 314630124561 + 87581075481 = 560919^2 + 295941^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 402211199988 and 402211200024.

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, 1029834 + ... + 1365642.

Almost surely, 2402211200042 is an apocalyptic number.

402211200042 is an abundant number, since it is smaller than the sum of its proper divisors (469262091738).

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

402211200042 is a wasteful number, since it uses less digits than its factorization.

402211200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402358 (or 402355 counting only the distinct ones).

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

Adding to 402211200042 its reverse (240002112204), we get a palindrome (642213312246).

It can be divided in two parts, 402211 and 200042, that added together give a triangular number (602253 = T1097).

The spelling of 402211200042 in words is "four hundred two billion, two hundred eleven million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 66541 133082 199623 335809 399246 598869 671618 1007427 1197738 2014854 3022281 6044562 22345066669 44690133338 67035200007 134070400014 201105600021 402211200042