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142044004214024 = 23115379373837143
BaseRepresentation
bin100000010011000000110010…
…011010011110010100001000
3200121221021101212210002001212
4200103000302122132110020
5122104222110034322044
61222034040435032252
741630224561322243
oct4023006232362410
9617837355702055
10142044004214024
1141294584332360
1213b210b573b688
1361348cc792b23
142710d7607825a
151164d557a9a9e
hex81303269e508

142044004214024 has 64 divisors (see below), whose sum is σ = 296063900979840. Its totient is φ = 63339242536960.

The previous prime is 142044004214023. The next prime is 142044004214051. The reversal of 142044004214024 is 420412400440241.

It is not an unprimeable number, because it can be changed into a prime (142044004214023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35099597 + ... + 38936739.

It is an arithmetic number, because the mean of its divisors is an integer number (4625998452810).

Almost surely, 2142044004214024 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 142044004214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148031950489920).

142044004214024 is an abundant number, since it is smaller than the sum of its proper divisors (154019896765816).

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

142044004214024 is a wasteful number, since it uses less digits than its factorization.

142044004214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845150 (or 3845146 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 142044004214024 its reverse (420412400440241), we get a palindrome (562456404654265).

The spelling of 142044004214024 in words is "one hundred forty-two trillion, forty-four billion, four million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 7937 15874 31748 63496 87307 174614 349228 420661 698456 841322 1682644 3365288 3837143 4627271 7674286 9254542 15348572 18509084 30697144 37018168 42208573 84417146 168834292 203368579 337668584 406737158 813474316 1626948632 2237054369 4474108738 8948217476 17896434952 30455403991 60910807982 121821615964 243643231928 335009443901 670018887802 1340037775604 1614136411523 2680075551208 3228272823046 6456545646092 12913091292184 17755500526753 35511001053506 71022002107012 142044004214024