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10455324440 = 235113434567
BaseRepresentation
bin10011011110010111…
…11001011100011000
3222222122112111211112
421233023321130120
5132403030340230
64445245515452
7520043535311
oct115713713430
928878474745
1010455324440
114485838000
122039572b88
13ca812c812
14712809608
15412d4dd95
hex26f2f9718

10455324440 has 128 divisors (see below), whose sum is σ = 26482705920. Its totient is φ = 3712705920.

The previous prime is 10455324437. The next prime is 10455324497. The reversal of 10455324440 is 4442355401.

It is a super-2 number, since 2×104553244402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10455324397 and 10455324406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287037 + ... + 2291603.

It is an arithmetic number, because the mean of its divisors is an integer number (206896140).

Almost surely, 210455324440 is an apocalyptic number.

10455324440 is a gapful number since it is divisible by the number (10) 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 10455324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241352960).

10455324440 is an abundant number, since it is smaller than the sum of its proper divisors (16027381480).

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

10455324440 is a wasteful number, since it uses less digits than its factorization.

10455324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 10455324440 its reverse (4442355401), we get a palindrome (14897679841).

The spelling of 10455324440 in words is "ten billion, four hundred fifty-five million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 121 172 215 220 242 344 430 440 473 484 605 860 946 968 1210 1331 1720 1892 2365 2420 2662 3784 4567 4730 4840 5203 5324 6655 9134 9460 10406 10648 13310 18268 18920 20812 22835 26015 26620 36536 41624 45670 50237 52030 53240 57233 91340 100474 104060 114466 182680 196381 200948 208120 228932 251185 286165 392762 401896 457864 502370 552607 572330 785524 981905 1004740 1105214 1144660 1571048 1963810 2009480 2160191 2210428 2289320 2763035 3927620 4320382 4420856 5526070 6078677 7855240 8640764 10800955 11052140 12157354 17281528 21601910 22104280 23762101 24314708 30393385 43203820 47524202 48629416 60786770 86407640 95048404 118810505 121573540 190096808 237621010 243147080 261383111 475242020 522766222 950484040 1045532444 1306915555 2091064888 2613831110 5227662220 10455324440