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1024230054440 = 235411153541657
BaseRepresentation
bin11101110011110001101…
…11100101101000101000
310121220201100112201112202
432321320313211220220
5113240110343220230
62102305204355332
7133666242550115
oct16717067455050
93556640481482
101024230054440
1136541218947a
121466046a5b48
137577a142b68
143780444990c
151b998a4ba45
hexee78de5a28

1024230054440 has 64 divisors (see below), whose sum is σ = 2362777194960. Its totient is φ = 399352135680.

The previous prime is 1024230054409. The next prime is 1024230054469. The reversal of 1024230054440 is 444500324201.

It can be written as a sum of positive squares in 8 ways, for example, as 301495435396 + 722734619044 = 549086^2 + 850138^2 .

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, 1620092 + ... + 2161748.

Almost surely, 21024230054440 is an apocalyptic number.

1024230054440 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 1024230054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181388597480).

1024230054440 is an abundant number, since it is smaller than the sum of its proper divisors (1338547140520).

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

1024230054440 is a wasteful number, since it uses less digits than its factorization.

1024230054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542862 (or 542858 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1024230054440 its reverse (444500324201), we get a palindrome (1468730378641).

The spelling of 1024230054440 in words is "one trillion, twenty-four billion, two hundred thirty million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1153 1640 2306 4612 5765 9224 11530 23060 46120 47273 94546 189092 236365 378184 472730 541657 945460 1083314 1890920 2166628 2708285 4333256 5416570 10833140 21666280 22207937 44415874 88831748 111039685 177663496 222079370 444158740 624530521 888317480 1249061042 2498122084 3122652605 4996244168 6245305210 12490610420 24981220840 25605751361 51211502722 102423005444 128028756805 204846010888 256057513610 512115027220 1024230054440