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42225325428012 = 223177921799120193
BaseRepresentation
bin10011001100111010110011…
…00001011100110100101100
312112111200221112022120220020
421212131121201130310230
521013304431302144022
6225450014031122140
711615451633063636
oct1146353141346454
9175450845276806
1042225325428012
11124aa729434a51
12489b674073350
131a73aa5c1625c
14a5da06705a56
154d359e6c435c
hex26675985cd2c

42225325428012 has 96 divisors (see below), whose sum is σ = 105647641344000. Its totient is φ = 13078766518272.

The previous prime is 42225325427963. The next prime is 42225325428047. The reversal of 42225325428012 is 21082452352224.

42225325428012 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351252588 + ... + 351372780.

It is an arithmetic number, because the mean of its divisors is an integer number (1100496264000).

Almost surely, 242225325428012 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 42225325428012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52823820672000).

42225325428012 is an abundant number, since it is smaller than the sum of its proper divisors (63422315915988).

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

42225325428012 is a wasteful number, since it uses less digits than its factorization.

42225325428012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142095 (or 142093 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 42225325428012 in words is "forty-two trillion, two hundred twenty-five billion, three hundred twenty-five million, four hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 16116 21799 43598 65397 87196 120193 130794 240386 261588 360579 370583 480772 721158 741166 1111749 1442316 1482332 1722121 2043281 2223498 3444242 4086562 4446996 5166363 6129843 6888484 8173124 9495247 10332726 12259686 18990494 20665452 24519372 28485741 29276057 37980988 56971482 58552114 87828171 113942964 117104228 161419199 175656342 322838398 351312684 484257597 645676796 968515194 1937030388 2620087207 5240174414 7860261621 10480348828 15720523242 31441046484 44541482519 89082965038 133624447557 178165930076 206986889353 267248895114 413973778706 534497790228 620960668059 827947557412 1241921336118 2483842672236 3518777119001 7037554238002 10556331357003 14075108476004 21112662714006 42225325428012