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6243153440 = 255175938903
BaseRepresentation
bin1011101000001111…
…01111011000100000
3121010002121001111012
411310013233120200
5100241221402230
62511300240052
7310465633346
oct56407573040
917102531435
106243153440
112714108647
1212629a0028
13786582044
14433225996
15268168395
hex1741ef620

6243153440 has 96 divisors (see below), whose sum is σ = 15882168960. Its totient is φ = 2310467584.

The previous prime is 6243153409. The next prime is 6243153451. The reversal of 6243153440 is 443513426.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6243153397 and 6243153406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141029 + ... + 179931.

It is an arithmetic number, because the mean of its divisors is an integer number (165439260).

Almost surely, 26243153440 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 6243153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941084480).

6243153440 is an abundant number, since it is smaller than the sum of its proper divisors (9639015520).

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

6243153440 is a wasteful number, since it uses less digits than its factorization.

6243153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38994 (or 38986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 6243153440 is about 79013.6281915974. The cubic root of 6243153440 is about 1841.3428917612.

Adding to 6243153440 its reverse (443513426), we get a palindrome (6686666866).

The spelling of 6243153440 in words is "six billion, two hundred forty-three million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 68 80 85 118 136 160 170 236 272 295 340 472 544 590 680 944 1003 1180 1360 1888 2006 2360 2720 4012 4720 5015 8024 9440 10030 16048 20060 32096 38903 40120 77806 80240 155612 160480 194515 311224 389030 622448 661351 778060 1244896 1322702 1556120 2295277 2645404 3112240 3306755 4590554 5290808 6224480 6613510 9181108 10581616 11476385 13227020 18362216 21163232 22952770 26454040 36724432 39019709 45905540 52908080 73448864 78039418 91811080 105816160 156078836 183622160 195098545 312157672 367244320 390197090 624315344 780394180 1248630688 1560788360 3121576720 6243153440