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40220331300 = 22345216193067
BaseRepresentation
bin100101011101010100…
…011000110100100100
310211211000122112020000
4211131110120310210
51124332401100200
630251005141300
72622461114052
oct453524306444
9124730575200
1040220331300
111606a368226
12796585a830
133a3c907a06
141d379631d2
1510a600a300
hex95d518d24

40220331300 has 180 divisors, whose sum is σ = 130501491120. Its totient is φ = 10715302080.

The previous prime is 40220331299. The next prime is 40220331373. The reversal of 40220331300 is 313302204.

40220331300 is a `hidden beast` number, since 402 + 203 + 31 + 30 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13112367 + ... + 13115433.

It is an arithmetic number, because the mean of its divisors is an integer number (725008284).

Almost surely, 240220331300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40220331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65250745560).

40220331300 is an abundant number, since it is smaller than the sum of its proper divisors (90281159820).

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

40220331300 is a wasteful number, since it uses less digits than its factorization.

40220331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 40220331300 its reverse (313302204), we get a palindrome (40533633504).

The spelling of 40220331300 in words is "forty billion, two hundred twenty million, three hundred thirty-one thousand, three hundred".