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440406550044 = 22325310313191699
BaseRepresentation
bin1100110100010100100…
…01101010011000011100
31120002202200121210022100
412122022101222120130
524203423034100134
6534153040445100
743550453623626
oct6321221523034
91502680553270
10440406550044
1115a85901a50a
127142b319790
13326b79b6656
141745c75bc16
15b6c8e39999
hex668a46a61c

440406550044 has 144 divisors (see below), whose sum is σ = 1146809664000. Its totient is φ = 142441932672.

The previous prime is 440406550007. The next prime is 440406550139. The reversal of 440406550044 is 440055604044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440406549990 and 440406550008.

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 47 ways as a sum of consecutive naturals, for example, 259214307 + ... + 259216005.

It is an arithmetic number, because the mean of its divisors is an integer number (7963956000).

Almost surely, 2440406550044 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 440406550044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573404832000).

440406550044 is an abundant number, since it is smaller than the sum of its proper divisors (706403113956).

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

440406550044 is a wasteful number, since it uses less digits than its factorization.

440406550044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 440406550044 in words is "four hundred forty billion, four hundred six million, five hundred fifty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 103 106 159 206 212 309 318 412 477 618 636 927 954 1236 1319 1699 1854 1908 2638 3398 3708 3957 5097 5276 5459 6796 7914 10194 10918 11871 15291 15828 16377 20388 21836 23742 30582 32754 47484 49131 61164 65508 69907 90047 98262 135857 139814 174997 180094 196524 209721 270141 271714 279628 349994 360188 407571 419442 524991 540282 543428 629163 699988 810423 815142 838884 1049982 1080564 1222713 1258326 1574973 1620846 1630284 2099964 2240981 2445426 2516652 3149946 3241692 4481962 4890852 6299892 6722943 7200421 8963924 9274841 13445886 14400842 18549682 20168829 21601263 26891772 27824523 28801684 37099364 40337658 43202526 55649046 64803789 80675316 83473569 86405052 111298092 118771993 129607578 166947138 230821043 237543986 259215156 333894276 356315979 461642086 475087972 692463129 712631958 923284172 1068947937 1384926258 1425263916 2077389387 2137895874 2769852516 4154778774 4275791748 8309557548 12233515279 24467030558 36700545837 48934061116 73401091674 110101637511 146802183348 220203275022 440406550044