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42833846340 = 223251753264113
BaseRepresentation
bin100111111001000110…
…001010000001000100
311002120011102211212100
4213321012022001010
51200210431040330
631402205552100
73044314454325
oct477106120104
9132504384770
1042833846340
111719065380a
128374b75630
13406820040c
142104ac244c
1511aa6aa060
hex9f918a044

42833846340 has 144 divisors (see below), whose sum is σ = 140168469168. Its totient is φ = 10547576832.

The previous prime is 42833846339. The next prime is 42833846431. The reversal of 42833846340 is 4364833824.

42833846340 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 3 + 8 + 4 + 634 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 734193216 + 42099653124 = 27096^2 + 205182^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30124 + ... + 294236.

It is an arithmetic number, because the mean of its divisors is an integer number (973392147).

Almost surely, 242833846340 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 42833846340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084234584).

42833846340 is an abundant number, since it is smaller than the sum of its proper divisors (97334622828).

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

42833846340 is a wasteful number, since it uses less digits than its factorization.

42833846340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264198 (or 264193 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 42833846340 in words is "forty-two billion, eight hundred thirty-three million, eight hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1020 1060 1530 1590 1802 1908 2385 2703 3060 3180 3604 4505 4770 5406 8109 9010 9540 10812 13515 16218 18020 27030 32436 40545 54060 81090 162180 264113 528226 792339 1056452 1320565 1584678 2377017 2641130 3169356 3961695 4489921 4754034 5282260 7923390 8979842 9508068 11885085 13469763 13997989 15846780 17959684 22449605 23770170 26939526 27995978 40409289 41993967 44899210 47540340 53879052 55991956 67348815 69989945 80818578 83987934 89798420 125981901 134697630 139979890 161637156 167975868 202046445 209969835 237965813 251963802 269395260 279959780 404092890 419939670 475931626 503927604 629909505 713897439 808185780 839879340 951863252 1189829065 1259819010 1427794878 2141692317 2379658130 2519638020 2855589756 3569487195 4283384634 4759316260 7138974390 8566769268 10708461585 14277948780 21416923170 42833846340