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540400362424 = 231329367148809
BaseRepresentation
bin1111101110100100101…
…11110010001110111000
31220122212102121202201221
413313102113302032320
532323214443044144
61052131223121424
754020424201466
oct7672227621670
91818772552657
10540400362424
11199200a0977a
1288896ba3274
133bc6213a880
141c226a4b836
15e0cc850d84
hex7dd25f23b8

540400362424 has 64 divisors (see below), whose sum is σ = 1129151016000. Its totient is φ = 240744483840.

The previous prime is 540400362419. The next prime is 540400362431. The reversal of 540400362424 is 424263004045.

It is a self number, because there is not a number n which added to its sum of digits gives 540400362424.

It is a congruent number.

It is an unprimeable number.

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, 11047332 + ... + 11096140.

It is an arithmetic number, because the mean of its divisors is an integer number (17642984625).

Almost surely, 2540400362424 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 540400362424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564575508000).

540400362424 is an abundant number, since it is smaller than the sum of its proper divisors (588750653576).

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

540400362424 is a wasteful number, since it uses less digits than its factorization.

540400362424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52528 (or 52524 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 540400362424 its reverse (424263004045), we get a palindrome (964663366469).

The spelling of 540400362424 in words is "five hundred forty billion, four hundred million, three hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 3671 7342 14684 29368 47723 48809 95446 97618 106459 190892 195236 212918 381784 390472 425836 634517 851672 1269034 1383967 1415461 2538068 2767934 2830922 5076136 5535868 5661844 11071736 11323688 18400993 36801986 73603972 147207944 179177839 358355678 716711356 1433422712 2329311907 4658623814 5196157331 9317247628 10392314662 18634495256 20784629324 41569258648 67550045303 135100090606 270200181212 540400362424