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534504013440 = 2735757367751
BaseRepresentation
bin1111100011100101110…
…10111111111010000000
31220002122111121012112020
413301302322333322000
532224131011412230
61045314152001440
753421336102615
oct7616272777200
91802574535466
10534504013440
11196755643491
1287710390280
133b532693387
141bc2790050c
15dd84d8e810
hex7c72ebfe80

534504013440 has 128 divisors (see below), whose sum is σ = 1705986817920. Its totient is φ = 142345728000.

The previous prime is 534504013427. The next prime is 534504013441. The reversal of 534504013440 is 44310405435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (534504013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269565 + ... + 1637315.

It is an arithmetic number, because the mean of its divisors is an integer number (13328022015).

Almost surely, 2534504013440 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 534504013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852993408960).

534504013440 is an abundant number, since it is smaller than the sum of its proper divisors (1171482804480).

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

534504013440 is a wasteful number, since it uses less digits than its factorization.

534504013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368530 (or 368518 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 534504013440 its reverse (44310405435), we get a palindrome (578814418875).

The spelling of 534504013440 in words is "five hundred thirty-four billion, five hundred four million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 757 960 1514 1920 2271 3028 3785 4542 6056 7570 9084 11355 12112 15140 18168 22710 24224 30280 36336 45420 48448 60560 72672 90840 96896 121120 145344 181680 242240 290688 363360 367751 484480 726720 735502 1103253 1453440 1471004 1838755 2206506 2942008 3677510 4413012 5516265 5884016 7355020 8826024 11032530 11768032 14710040 17652048 22065060 23536064 29420080 35304096 44130120 47072128 58840160 70608192 88260240 117680320 141216384 176520480 235360640 278387507 353040960 556775014 706081920 835162521 1113550028 1391937535 1670325042 2227100056 2783875070 3340650084 4175812605 4454200112 5567750140 6681300168 8351625210 8908400224 11135500280 13362600336 16703250420 17816800448 22271000560 26725200672 33406500840 35633600896 44542001120 53450401344 66813001680 89084002240 106900802688 133626003360 178168004480 267252006720 534504013440