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40454122224 = 24310914951893
BaseRepresentation
bin100101101011010000…
…001110101011110000
310212102022120100002010
4211223100032223300
51130322223402344
630330120122520
72631330236205
oct455320165360
9125368510063
1040454122224
111617a32a86a
127a10006440
133a79193639
141d5aa1dcac
1510bb7db8b9
hex96b40eaf0

40454122224 has 80 divisors (see below), whose sum is σ = 106175124000. Its totient is φ = 13271067648.

The previous prime is 40454122207. The next prime is 40454122231. The reversal of 40454122224 is 42222145404.

It is a junction number, because it is equal to n+sod(n) for n = 40454122191 and 40454122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753622 + ... + 805514.

It is an arithmetic number, because the mean of its divisors is an integer number (1327189050).

Almost surely, 240454122224 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 40454122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53087562000).

40454122224 is an abundant number, since it is smaller than the sum of its proper divisors (65721001776).

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

40454122224 is a wasteful number, since it uses less digits than its factorization.

40454122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52162 (or 52156 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 40454122224 its reverse (42222145404), we get a palindrome (82676267628).

The spelling of 40454122224 in words is "forty billion, four hundred fifty-four million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 149 218 298 327 436 447 596 654 872 894 1192 1308 1744 1788 2384 2616 3576 5232 7152 16241 32482 48723 51893 64964 97446 103786 129928 155679 194892 207572 259856 311358 389784 415144 622716 779568 830288 1245432 2490864 5656337 7732057 11312674 15464114 16969011 22625348 23196171 30928228 33938022 45250696 46392342 61856456 67876044 90501392 92784684 123712912 135752088 185569368 271504176 371138736 842794213 1685588426 2528382639 3371176852 5056765278 6742353704 10113530556 13484707408 20227061112 40454122224