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40042421111224 = 23723671567177623
BaseRepresentation
bin10010001101011000110100…
…10010010100100110111000
312020210000111011201202001001
421012230122102110212320
520222023334301024344
6221055122335534344
711301653344405600
oct1106543222244670
9166700434652031
1040042421111224
11118389938a4884
1245a85a598a3b4
131945ca4117acc
149c60c643dc00
154968de049ed4
hex246b1a4949b8

40042421111224 has 96 divisors (see below), whose sum is σ = 87631780884480. Its totient is φ = 17103259325376.

The previous prime is 40042421111219. The next prime is 40042421111233. The reversal of 40042421111224 is 42211112424004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40042421111192 and 40042421111201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225346077 + ... + 225523699.

It is an arithmetic number, because the mean of its divisors is an integer number (912831050880).

Almost surely, 240042421111224 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 40042421111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43815890442240).

40042421111224 is an abundant number, since it is smaller than the sum of its proper divisors (47589359773256).

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

40042421111224 is a wasteful number, since it uses less digits than its factorization.

40042421111224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179577 (or 179566 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 40042421111224 its reverse (42211112424004), we get a palindrome (82253533535228).

The spelling of 40042421111224 in words is "forty trillion, forty-two billion, four hundred twenty-one million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 367 392 734 1468 1567 2569 2936 3134 5138 6268 10276 10969 12536 17983 20552 21938 35966 43876 71932 76783 87752 143864 153566 177623 307132 355246 575089 614264 710492 1150178 1243361 1420984 2300356 2486722 4025623 4600712 4973444 8051246 8703527 9946888 16102492 17407054 28179361 32204984 34814108 56358722 65187641 69628216 112717444 130375282 225434888 260750564 278335241 456313487 521501128 556670482 912626974 1113340964 1825253948 1948346687 2226681928 3194194409 3650507896 3896693374 6388388818 7793386748 12776777636 13638426809 15586773496 25553555272 27276853618 54553707236 102149033447 109107414472 204298066894 408596133788 715043234129 817192267576 1430086468258 2860172936516 5005302638903 5720345873032 10010605277806 20021210555612 40042421111224