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531400254440 = 235112415926399
BaseRepresentation
bin1111011101110011110…
…11000110001111101000
31212210122012022220121012
413232321323012033220
532201301431120230
61044042155403052
753251410430556
oct7567173061750
91783565286535
10531400254440
11195402654400
1286ba4a53488
133b1596503a3
141ba11608bd6
15dc52652395
hex7bb9ec63e8

531400254440 has 96 divisors (see below), whose sum is σ = 1314593280000. Its totient is φ = 193182675840.

The previous prime is 531400254431. The next prime is 531400254487. The reversal of 531400254440 is 44452004135.

It is a junction number, because it is equal to n+sod(n) for n = 531400254397 and 531400254406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20116361 + ... + 20142759.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680000).

Almost surely, 2531400254440 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 531400254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640000).

531400254440 is an abundant number, since it is smaller than the sum of its proper divisors (783193025560).

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

531400254440 is a wasteful number, since it uses less digits than its factorization.

531400254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30591 (or 30576 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 531400254440 its reverse (44452004135), we get a palindrome (575852258575).

The spelling of 531400254440 in words is "five hundred thirty-one billion, four hundred million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4159 4840 8318 16636 20795 26399 33272 41590 45749 52798 83180 91498 105596 131995 166360 182996 211192 228745 263990 290389 365992 457490 503239 527980 580778 914980 1006478 1055960 1161556 1451945 1829960 2012956 2323112 2516195 2903890 3194279 4025912 5032390 5807780 6388558 10064780 11615560 12777116 15971395 20129560 25554232 31942790 63885580 109793441 127771160 219586882 439173764 548967205 878347528 1097934410 1207727851 2195868820 2415455702 4391737640 4830911404 6038639255 9661822808 12077278510 13285006361 24154557020 26570012722 48309114040 53140025444 66425031805 106280050888 132850063610 265700127220 531400254440