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1413224040 = 233597317383
BaseRepresentation
bin101010000111100…
…0001011001101000
310122111020012221010
41110033001121220
510343241132130
6352122143520
750010130464
oct12417013150
93574205833
101413224040
11665801158
12335351ba0
13196a2b957
14d59954a4
15841080b0
hex543c1668

1413224040 has 128 divisors (see below), whose sum is σ = 4308111360. Its totient is φ = 370827264.

The previous prime is 1413224023. The next prime is 1413224051. The reversal of 1413224040 is 404223141.

It is a junction number, because it is equal to n+sod(n) for n = 1413223998 and 1413224016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3689689 + ... + 3690071.

It is an arithmetic number, because the mean of its divisors is an integer number (33657120).

Almost surely, 21413224040 is an apocalyptic number.

1413224040 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 1413224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154055680).

1413224040 is an abundant number, since it is smaller than the sum of its proper divisors (2894887320).

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

1413224040 is a wasteful number, since it uses less digits than its factorization.

1413224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1413224040 is about 37592.8721967343. The cubic root of 1413224040 is about 1122.2001924172.

Adding to 1413224040 its reverse (404223141), we get a palindrome (1817447181).

The spelling of 1413224040 in words is "one billion, four hundred thirteen million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 317 383 388 485 582 634 766 776 951 970 1149 1164 1268 1455 1532 1585 1902 1915 1940 2298 2328 2536 2910 3064 3170 3804 3830 3880 4596 4755 5745 5820 6340 7608 7660 9192 9510 11490 11640 12680 15320 19020 22980 30749 37151 38040 45960 61498 74302 92247 111453 121411 122996 148604 153745 184494 185755 222906 242822 245992 297208 307490 364233 368988 371510 445812 461235 485644 557265 607055 614980 728466 737976 743020 891624 922470 971288 1114530 1214110 1229960 1456932 1486040 1821165 1844940 2229060 2428220 2913864 3642330 3689880 4458120 4856440 7284660 11776867 14569320 23553734 35330601 47107468 58884335 70661202 94214936 117768670 141322404 176653005 235537340 282644808 353306010 471074680 706612020 1413224040