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13142413034142 = 23723401110930593
BaseRepresentation
bin1011111100111111010011…
…0111000100001010011110
31201112101212100202020120120
42333033310313010022132
53210311130214043032
643541312522055410
72524336150411560
oct277176467041236
951471770666516
1013142413034142
114207736599127
12158310764a566
1374442a44a962
1433614bd07330
1517bce715662c
hexbf3f4dc429e

13142413034142 has 128 divisors (see below), whose sum is σ = 31453412382720. Its totient is φ = 3579410841600.

The previous prime is 13142413034141. The next prime is 13142413034239. The reversal of 13142413034142 is 24143031424131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142413034141) 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, 429573598 + ... + 429604190.

It is an arithmetic number, because the mean of its divisors is an integer number (245729784240).

Almost surely, 213142413034142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142413034142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726706191360).

13142413034142 is an abundant number, since it is smaller than the sum of its proper divisors (18310999348578).

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

13142413034142 is a wasteful number, since it uses less digits than its factorization.

13142413034142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32138.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13142413034142 its reverse (24143031424131), we get a palindrome (37285444458273).

The spelling of 13142413034142 in words is "thirteen trillion, one hundred forty-two billion, four hundred thirteen million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 401 483 802 966 1109 1203 2218 2406 2807 3327 5614 6654 7763 8421 9223 15526 16842 18446 23289 25507 27669 30593 46578 51014 55338 61186 64561 76521 91779 129122 153042 178549 183558 193683 214151 357098 387366 428302 444709 535647 642453 703639 889418 1071294 1284906 1334127 1407278 2110917 2668254 3112963 4221834 4925473 6225926 9338889 9850946 10228307 12267793 14776419 18677778 20456614 24535586 29552838 30684921 33927637 36803379 61369842 67855274 71598149 73606758 85874551 101782911 143196298 171749102 203565822 214794447 237493459 257623653 282159239 429588894 474986918 515247306 564318478 712480377 780335651 846477717 1424960754 1560671302 1692955434 1975114673 2341006953 3950229346 4682013906 5462349557 5925344019 10924699114 11850688038 13604982437 16387048671 27209964874 32774097342 40814947311 81629894622 95234877059 190469754118 285704631177 312914596051 571409262354 625829192102 938743788153 1877487576306 2190402172357 4380804344714 6571206517071 13142413034142