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540043145312 = 251141361310357
BaseRepresentation
bin1111101101111010001…
…01000111000001100000
31220121221112110020222112
413312331011013001200
532322002021122222
61052031542454452
754005525665256
oct7667505070140
91817845406875
10540043145312
11199038305220
12887b7434428
133bc061286b8
141c1d14225d6
15e0ab2ddbe2
hex7dbd147060

540043145312 has 96 divisors (see below), whose sum is σ = 1188598398624. Its totient is φ = 239397580800.

The previous prime is 540043145281. The next prime is 540043145359. The reversal of 540043145312 is 213541340045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52137638 + ... + 52147994.

It is an arithmetic number, because the mean of its divisors is an integer number (12381233319).

Almost surely, 2540043145312 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 540043145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594299199312).

540043145312 is an abundant number, since it is smaller than the sum of its proper divisors (648555253312).

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

540043145312 is a wasteful number, since it uses less digits than its factorization.

540043145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14032 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 540043145312 its reverse (213541340045), we get a palindrome (753584485357).

The spelling of 540043145312 in words is "five hundred forty billion, forty-three million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 3613 7216 7226 10357 14432 14452 20714 28904 39743 41428 57808 79486 82856 113927 115616 148133 158972 165712 227854 296266 317944 331424 424637 455708 592532 635888 849274 911416 1185064 1271776 1629463 1698548 1822832 2370128 3258926 3397096 3645664 4671007 4740256 6517852 6794192 9342014 13035704 13588384 18684028 26071408 37368056 37419841 52142816 74736112 74839682 149472224 149679364 299358728 411618251 598717456 823236502 1197434912 1534213481 1646473004 3068426962 3292946008 6136853924 6585892016 12273707848 13171784032 16876348291 24547415696 33752696582 49094831392 67505393164 135010786328 270021572656 540043145312