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40946444352 = 2633112154169
BaseRepresentation
bin100110001000100110…
…010010100001000000
310220200121221220002000
4212020212102201000
51132324242204402
630451024224000
72646456014532
oct461046224100
9126617856060
1040946444352
1116402222760
127b28a6b000
133b2718aac8
141da6177852
1510e9b39c1c
hex988992840

40946444352 has 112 divisors (see below), whose sum is σ = 131318203200. Its totient is φ = 12408007680.

The previous prime is 40946444327. The next prime is 40946444359. The reversal of 40946444352 is 25344464904.

It is a super-2 number, since 2×409464443522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40946444298 and 40946444307.

It is not an unprimeable number, because it can be changed into a prime (40946444359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058077 + ... + 1096092.

Almost surely, 240946444352 is an apocalyptic number.

It is an amenable number.

40946444352 is an abundant number, since it is smaller than the sum of its proper divisors (90371758848).

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

40946444352 is a wasteful number, since it uses less digits than its factorization.

40946444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154201 (or 2154185 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

It can be divided in two parts, 4094 and 6444352, that added together give a palindrome (6448446).

The spelling of 40946444352 in words is "forty billion, nine hundred forty-six million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 2154169 4308338 6462507 8616676 12925014 17233352 19387521 23695859 25850028 34466704 38775042 47391718 51700056 58162563 68933408 71087577 77550084 94783436 103400112 116325126 137866816 142175154 155100168 189566872 206800224 213262731 232650252 284350308 310200336 379133744 413600448 426525462 465300504 568700616 620400672 639788193 758267488 853050924 930601008 1137401232 1240801344 1279576386 1516534976 1706101848 1861202016 2274802464 2559152772 3412203696 3722404032 4549604928 5118305544 6824407392 10236611088 13648814784 20473222176 40946444352