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42167057340 = 22352926990089
BaseRepresentation
bin100111010001010110…
…100011101110111100
311000211200202110022110
4213101112203232330
51142324231313330
631212110214020
73021640034142
oct472126435674
9130750673273
1042167057340
1116979228321
1282097b4310
133c9001b705
142080311592
15116bd97db0
hex9d15a3bbc

42167057340 has 96 divisors (see below), whose sum is σ = 122594472000. Its totient is φ = 10816325632.

The previous prime is 42167057327. The next prime is 42167057341. The reversal of 42167057340 is 4375076124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167057341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423016 + ... + 513104.

It is an arithmetic number, because the mean of its divisors is an integer number (1277025750).

Almost surely, 242167057340 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 42167057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61297236000).

42167057340 is an abundant number, since it is smaller than the sum of its proper divisors (80427414660).

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

42167057340 is a wasteful number, since it uses less digits than its factorization.

42167057340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90399 (or 90397 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 42167057340 in words is "forty-two billion, one hundred sixty-seven million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 269 290 348 435 538 580 807 870 1076 1345 1614 1740 2690 3228 4035 5380 7801 8070 15602 16140 23403 31204 39005 46806 78010 90089 93612 117015 156020 180178 234030 270267 360356 450445 468060 540534 900890 1081068 1351335 1801780 2612581 2702670 5225162 5405340 7837743 10450324 13062905 15675486 24233941 26125810 31350972 39188715 48467882 52251620 72701823 78377430 96935764 121169705 145403646 156754860 242339410 290807292 363509115 484678820 702784289 727018230 1405568578 1454036460 2108352867 2811137156 3513921445 4216705734 7027842890 8433411468 10541764335 14055685780 21083528670 42167057340