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10433023440 = 2435760110333
BaseRepresentation
bin10011011011101101…
…10100110111010000
3222221002120111121120
421231312310313100
5132331323222230
64443131522240
7516353143650
oct115566646720
928832514546
1010433023440
114474195a24
122031bb9380
13ca3621c68
1470d882360
15410de6310
hex26ddb4dd0

10433023440 has 160 divisors (see below), whose sum is σ = 37027796736. Its totient is φ = 2380492800.

The previous prime is 10433023439. The next prime is 10433023451. The reversal of 10433023440 is 4432033401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10433023440.

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, 1004514 + ... + 1014846.

Almost surely, 210433023440 is an apocalyptic number.

10433023440 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 10433023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513898368).

10433023440 is an abundant number, since it is smaller than the sum of its proper divisors (26594773296).

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

10433023440 is a wasteful number, since it uses less digits than its factorization.

10433023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10433023440 its reverse (4432033401), we get a palindrome (14865056841).

The spelling of 10433023440 in words is "ten billion, four hundred thirty-three million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 601 840 1202 1680 1803 2404 3005 3606 4207 4808 6010 7212 8414 9015 9616 10333 12020 12621 14424 16828 18030 20666 21035 24040 25242 28848 30999 33656 36060 41332 42070 48080 50484 51665 61998 63105 67312 72120 72331 82664 84140 100968 103330 123996 126210 144240 144662 154995 165328 168280 201936 206660 216993 247992 252420 289324 309990 336560 361655 413320 433986 495984 504840 578648 619980 723310 826640 867972 1009680 1084965 1157296 1239960 1446620 1735944 2169930 2479920 2893240 3471888 4339860 5786480 6210133 8679720 12420266 17359440 18630399 24840532 31050665 37260798 43470931 49681064 62101330 74521596 86941862 93151995 99362128 124202660 130412793 149043192 173883724 186303990 217354655 248405320 260825586 298086384 347767448 372607980 434709310 496810640 521651172 652063965 695534896 745215960 869418620 1043302344 1304127930 1490431920 1738837240 2086604688 2608255860 3477674480 5216511720 10433023440