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531404142021504 = 27324193291100063
BaseRepresentation
bin111100011010011110010101…
…1000111100000101110000000
32120200112201222100012200201100
41320310330223013200232000
51024123011140324142004
65122111405341334400
7216634453011660453
oct17064745307405600
92520481870180640
10531404142021504
1114435a25a548184
124b725823b67400
1319a692708959ab
14953215217549a
1541680942b2739
hex1e34f2b1e0b80

531404142021504 has 96 divisors (see below), whose sum is σ = 1529175810052800. Its totient is φ = 177134130561024.

The previous prime is 531404142021457. The next prime is 531404142021509. The reversal of 531404142021504 is 405120241404135.

531404142021504 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 0 + 4 + 142 + 0 + 2 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5314041420215042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531404142021509) 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 11 ways as a sum of consecutive naturals, for example, 482516977 + ... + 483617039.

It is an arithmetic number, because the mean of its divisors is an integer number (15928914688050).

Almost surely, 2531404142021504 is an apocalyptic number.

It is an amenable number.

531404142021504 is an abundant number, since it is smaller than the sum of its proper divisors (997771668031296).

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

531404142021504 is a wasteful number, since it uses less digits than its factorization.

531404142021504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519412 (or 1519397 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 531404142021504 its reverse (405120241404135), we get a palindrome (936524383425639).

The spelling of 531404142021504 in words is "five hundred thirty-one trillion, four hundred four billion, one hundred forty-two million, twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 419329 838658 1100063 1257987 1677316 2200126 2515974 3300189 3354632 3773961 4400252 5031948 6600378 6709264 7547922 8800504 9900567 10063896 13200756 13418528 15095844 17601008 19801134 20127792 26401512 26837056 30191688 35202016 39602268 40255584 52803024 53674112 60383376 70404032 79204536 80511168 105606048 120766752 140808064 158409072 161022336 211212096 241533504 316818144 422424192 483067008 633636288 1267272576 461288317727 922576635454 1383864953181 1845153270908 2767729906362 3690306541816 4151594859543 5535459812724 7380613083632 8303189719086 11070919625448 14761226167264 16606379438172 22141839250896 29522452334528 33212758876344 44283678501792 59044904669056 66425517752688 88567357003584 132851035505376 177134714007168 265702071010752 531404142021504