Search a number
-
+
342769007152 = 241121313619239
BaseRepresentation
bin1001111110011101001…
…11111111101000110000
31012202202011100200222001
410333032213333220300
521103442331212102
6421244345223344
733523064326315
oct4771647775060
91182664320861
10342769007152
11122405194400
1256520791b54
1326427779530
1412839386d0c
158db230c487
hex4fce9ffa30

342769007152 has 60 divisors (see below), whose sum is σ = 786129771280. Its totient is φ = 143819153280.

The previous prime is 342769007143. The next prime is 342769007171. The reversal of 342769007152 is 251700967243.

It is a super-2 number, since 2×3427690071522 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6784452 + ... + 6834787.

Almost surely, 2342769007152 is an apocalyptic number.

It is an amenable number.

342769007152 is an abundant number, since it is smaller than the sum of its proper divisors (443360764128).

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

342769007152 is a wasteful number, since it uses less digits than its factorization.

342769007152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619282 (or 13619265 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 342769007152 in words is "three hundred forty-two billion, seven hundred sixty-nine million, seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 6292 12584 25168 13619239 27238478 54476956 108953912 149811629 177050107 217907824 299623258 354100214 599246516 708200428 1198493032 1416400856 1647927919 1947551177 2396986064 2832801712 3295855838 3895102354 6591711676 7790204708 13183423352 15580409416 21423062947 26366846704 31160818832 42846125894 85692251788 171384503576 342769007152