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504114544030040 = 235233146338176729
BaseRepresentation
bin111001010011111010101000…
…0010100101011000101011000
32110002220212202100001222002122
41302213311100110223011120
51012033403041232430130
64544055005135520412
7211120034230233326
oct16247652024530530
92402825670058078
10504114544030040
11136698860958579
1248658938989108
1318839a4a20aa98
148c6b3ba26ad16
153d4329988a2e5
hex1ca7d5052b158

504114544030040 has 128 divisors (see below), whose sum is σ = 1224391868006400. Its totient is φ = 186253566428160.

The previous prime is 504114544029977. The next prime is 504114544030049. The reversal of 504114544030040 is 40030445411405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504114544030049) 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 31 ways as a sum of consecutive naturals, for example, 5883605 + ... + 32293124.

It is an arithmetic number, because the mean of its divisors is an integer number (9565561468800).

Almost surely, 2504114544030040 is an apocalyptic number.

It is an amenable number.

504114544030040 is an abundant number, since it is smaller than the sum of its proper divisors (720277323976360).

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

504114544030040 is a wasteful number, since it uses less digits than its factorization.

504114544030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38177257 (or 38177253 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 504114544030040 its reverse (40030445411405), we get a palindrome (544144989441445).

The spelling of 504114544030040 in words is "five hundred four trillion, one hundred fourteen billion, five hundred forty-four million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 463 620 713 920 926 1240 1426 1852 2315 2852 3565 3704 4630 5704 7130 9260 10649 14260 14353 18520 21298 28520 28706 42596 53245 57412 71765 85192 106490 114824 143530 212980 287060 330119 425960 574120 660238 1320476 1650595 2640952 3301190 6602380 13204760 38176729 76353458 152706916 190883645 305413832 381767290 763534580 878064767 1183478599 1527069160 1756129534 2366957198 3512259068 4390323835 4733914396 5917392995 7024518136 8780647670 9467828792 11834785990 17561295340 17675825527 23669571980 27220007777 35122590680 35351651054 47339143960 54440015554 70703302108 88379127635 108880031108 136100038885 141406604216 176758255270 217760062216 272200077770 353516510540 406543987121 544400155540 547950591337 707033021080 813087974242 1088800311080 1095901182674 1626175948484 2032719935605 2191802365348 2739752956685 3252351896968 4065439871210 4383604730696 5479505913370 8130879742420 10959011826740 12602863600751 16261759484840 21918023653480 25205727201502 50411454403004 63014318003755 100822908806008 126028636007510 252057272015020 504114544030040