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42410020244144 = 2478593533124771
BaseRepresentation
bin10011010010010010110100…
…01100010000101010110000
312120011100200020012101010212
421221021122030100222300
521024321210140303034
6230110521102043252
711635010560111430
oct1151113214205260
9176140606171125
1042410020244144
1112570a96889a63
12490b419b79528
131a8832b3c4bc7
14a68927c402c0
154d82ae14e2ce
hex26925a310ab0

42410020244144 has 80 divisors (see below), whose sum is σ = 94044589213440. Its totient is φ = 18149279765760.

The previous prime is 42410020244143. The next prime is 42410020244149. The reversal of 42410020244144 is 44144202001424.

It is a self number, because there is not a number n which added to its sum of digits gives 42410020244144.

It is not an unprimeable number, because it can be changed into a prime (42410020244143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339840479 + ... + 339965249.

It is an arithmetic number, because the mean of its divisors is an integer number (1175557365168).

Almost surely, 242410020244144 is an apocalyptic number.

It is an amenable number.

42410020244144 is an abundant number, since it is smaller than the sum of its proper divisors (51634568969296).

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

42410020244144 is a wasteful number, since it uses less digits than its factorization.

42410020244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129178 (or 129172 counting only the distinct ones).

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

Adding to 42410020244144 its reverse (44144202001424), we get a palindrome (86554222245568).

The spelling of 42410020244144 in words is "forty-two trillion, four hundred ten billion, twenty million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 859 1718 3436 3533 6013 6872 7066 12026 13744 14132 24052 24731 28264 48104 49462 56528 96208 98924 124771 197848 249542 395696 499084 873397 998168 1746794 1996336 3034847 3493588 6069694 6987176 12139388 13974352 21243929 24278776 42487858 48557552 84975716 107178289 169951432 214356578 339902864 428713156 440815943 750248023 857426312 881631886 1500496046 1714852624 1763263772 3000992092 3085711601 3526527544 6001984184 6171423202 7053055088 12003968368 12342846404 24685692808 49371385616 378660895037 757321790074 1514643580148 2650626265259 3029287160296 5301252530518 6058574320592 10602505061036 21205010122072 42410020244144