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542024104314 = 2371117456115131
BaseRepresentation
bin1111110001100110010…
…01110111100101111010
31220211001120222101212110
413320303021313211322
532340031132314224
61053000305353150
754105601604040
oct7706311674572
91824046871773
10542024104314
11199964527020
128906a9387b6
133c160666ca4
141c33c562390
15e17518e929
hex7e3327797a

542024104314 has 128 divisors (see below), whose sum is σ = 1431451367424. Its totient is φ = 132466176000.

The previous prime is 542024104309. The next prime is 542024104319. The reversal of 542024104314 is 413401420245.

It is an interprime number because it is at equal distance from previous prime (542024104309) and next prime (542024104319).

It is not an unprimeable number, because it can be changed into a prime (542024104319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35814529 + ... + 35829659.

It is an arithmetic number, because the mean of its divisors is an integer number (11183213808).

Almost surely, 2542024104314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542024104314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715725683712).

542024104314 is an abundant number, since it is smaller than the sum of its proper divisors (889427263110).

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

542024104314 is a wasteful number, since it uses less digits than its factorization.

542024104314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 542024104314 its reverse (413401420245), we get a palindrome (955425524559).

The spelling of 542024104314 in words is "five hundred forty-two billion, twenty-four million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 4561 7854 9122 13683 15131 27366 30262 31927 45393 50171 63854 77537 90786 95781 100342 105917 150513 155074 166441 191562 211834 232611 257227 301026 317751 332882 351197 465222 499323 514454 542759 635502 702394 771681 852907 998646 1053591 1085518 1165087 1543362 1628277 1705814 1800589 2107182 2330174 2558721 2829497 3256554 3495261 3601178 5117442 5401767 5658994 5970349 6990522 8488491 10803534 11940698 16976982 17911047 19806479 35822094 39612958 59419437 69012491 118838874 138024982 207037473 414074946 483087437 759137401 966174874 1173212347 1449262311 1518274802 2277412203 2346424694 2898524622 3519637041 4554824406 5313961807 7039274082 8212486429 10627923614 12905335817 15941885421 16424972858 24637459287 25810671634 31883770842 38716007451 49274918574 77432014902 90337350719 180674701438 271012052157 542024104314