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40222101304044 = 223211279687117011
BaseRepresentation
bin10010010010100111100000…
…00011110111001011101100
312021102012021101201021022100
421021103300003313023230
520232444330413212134
6221313440034015100
711320644111012342
oct1111236003671354
9167365241637270
1040222101304044
11118a8108664100
124617390417490
131959c0a717b2a
149d0a8d98b992
1549b408630999
hex2494f00f72ec

40222101304044 has 216 divisors, whose sum is σ = 113193514703360. Its totient is φ = 12031771752000.

The previous prime is 40222101304019. The next prime is 40222101304051. The reversal of 40222101304044 is 44040310122204.

40222101304044 is a `hidden beast` number, since 4 + 0 + 2 + 221 + 0 + 1 + 30 + 404 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40222101303999 and 40222101304017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2364467499 + ... + 2364484509.

Almost surely, 240222101304044 is an apocalyptic number.

40222101304044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222101304044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56596757351680).

40222101304044 is an abundant number, since it is smaller than the sum of its proper divisors (72971413399316).

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

40222101304044 is a wasteful number, since it uses less digits than its factorization.

40222101304044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23993 (or 23977 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40222101304044 its reverse (44040310122204), we get a palindrome (84262411426248).

The spelling of 40222101304044 in words is "forty trillion, two hundred twenty-two billion, one hundred one million, three hundred four thousand, forty-four".