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1413202440 = 2335131098311
BaseRepresentation
bin101010000111011…
…1100001000001000
310122111012010022010
41110032330020020
510343234434230
6352121455520
750010010506
oct12416741010
93574163263
101413202440
11665796a01
123353415a0
13196a21b80
14d598b676
15841019b0
hex543bc208

1413202440 has 128 divisors (see below), whose sum is σ = 4608172800. Its totient is φ = 344632320.

The previous prime is 1413202429. The next prime is 1413202447. The reversal of 1413202440 is 442023141.

It is a super-2 number, since 2×14132024402 = 3994282272843907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1413202447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165885 + ... + 174195.

It is an arithmetic number, because the mean of its divisors is an integer number (36001350).

Almost surely, 21413202440 is an apocalyptic number.

1413202440 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 1413202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304086400).

1413202440 is an abundant number, since it is smaller than the sum of its proper divisors (3194970360).

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

1413202440 is a wasteful number, since it uses less digits than its factorization.

1413202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8443 counting only the distinct ones).

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

The square root of 1413202440 is about 37592.5849071329. The cubic root of 1413202440 is about 1122.1944750770.

Adding to 1413202440 its reverse (442023141), we get a palindrome (1855225581).

The spelling of 1413202440 in words is "one billion, four hundred thirteen million, two hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 780 872 1090 1308 1417 1560 1635 2180 2616 2834 3270 4251 4360 5668 6540 7085 8311 8502 11336 13080 14170 16622 17004 21255 24933 28340 33244 34008 41555 42510 49866 56680 66488 83110 85020 99732 108043 124665 166220 170040 199464 216086 249330 324129 332440 432172 498660 540215 648258 864344 905899 997320 1080430 1296516 1620645 1811798 2160860 2593032 2717697 3241290 3623596 4321720 4529495 5435394 6482580 7247192 9058990 10870788 11776687 12965160 13588485 18117980 21741576 23553374 27176970 35330061 36235960 47106748 54353940 58883435 70660122 94213496 108707880 117766870 141320244 176650305 235533740 282640488 353300610 471067480 706601220 1413202440