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42404422101040 = 24529173105651839
BaseRepresentation
bin10011010010001000011001…
…00001000010100000110000
312120010211020002022020111101
421221010030201002200300
521024223224024213130
6230104153402254144
711634422052510466
oct1151041441024060
9176124202266441
1042404422101040
111256968388220a
12490a3171b7354
131a8794866a9ac
14a6855655a836
154d80829451ca
hex26910c842830

42404422101040 has 80 divisors (see below), whose sum is σ = 102579484492800. Its totient is φ = 16282216057856.

The previous prime is 42404422101031. The next prime is 42404422101061. The reversal of 42404422101040 is 4010122440424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52424560 + ... + 53227279.

It is an arithmetic number, because the mean of its divisors is an integer number (1282243556160).

Almost surely, 242404422101040 is an apocalyptic number.

42404422101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404422101040 is an abundant number, since it is smaller than the sum of its proper divisors (60175062391760).

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

42404422101040 is a wasteful number, since it uses less digits than its factorization.

42404422101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105652054 (or 105652048 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 42404422101040 its reverse (4010122440424), we get a palindrome (46414544541464).

The spelling of 42404422101040 in words is "forty-two trillion, four hundred four billion, four hundred twenty-two million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 173 232 290 346 464 580 692 865 1160 1384 1730 2320 2768 3460 5017 6920 10034 13840 20068 25085 40136 50170 80272 100340 200680 401360 105651839 211303678 422607356 528259195 845214712 1056518390 1690429424 2113036780 3063903331 4226073560 6127806662 8452147120 12255613324 15319516655 18277768147 24511226648 30639033310 36555536294 49022453296 61278066620 73111072588 91388840735 122556133240 146222145176 182777681470 245112266480 292444290352 365555362940 530055276263 731110725880 1060110552526 1462221451760 2120221105052 2650276381315 4240442210104 5300552762630 8480884420208 10601105525260 21202211050520 42404422101040