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213214304040 = 233512853138239
BaseRepresentation
bin1100011010010010010…
…0000001011100101000
3202101100021022212211120
43012210210001130220
511443130330212130
6241541014255240
721255435452523
oct3064444013450
9671307285746
10213214304040
1182472a09431
12353a5057520
131714bc15aaa
14a4690b3bba
15582d608910
hex31a4901728

213214304040 has 64 divisors (see below), whose sum is σ = 639697305600. Its totient is φ = 56852312832.

The previous prime is 213214304027. The next prime is 213214304089. The reversal of 213214304040 is 40403412312.

It is a super-4 number, since 4×2132143040404 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213214304040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473241 + ... + 1611479.

It is an arithmetic number, because the mean of its divisors is an integer number (9995270400).

Almost surely, 2213214304040 is an apocalyptic number.

213214304040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213214304040 is an abundant number, since it is smaller than the sum of its proper divisors (426483001560).

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

213214304040 is a wasteful number, since it uses less digits than its factorization.

213214304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151106 (or 151102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213214304040 its reverse (40403412312), we get a palindrome (253617716352).

The spelling of 213214304040 in words is "two hundred thirteen billion, two hundred fourteen million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12853 25706 38559 51412 64265 77118 102824 128530 138239 154236 192795 257060 276478 308472 385590 414717 514120 552956 691195 771180 829434 1105912 1382390 1542360 1658868 2073585 2764780 3317736 4147170 5529560 8294340 16588680 1776785867 3553571734 5330357601 7107143468 8883929335 10660715202 14214286936 17767858670 21321430404 26651788005 35535717340 42642860808 53303576010 71071434680 106607152020 213214304040