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33142204340 = 2257337719977
BaseRepresentation
bin11110110111011011…
…011110011110110100
310011112201220102101122
4132313123132132310
51020333401014330
623120400243112
72252203042310
oct366733363664
9104481812348
1033142204340
1113067a01723
12650b310498
1331823790cb
1418658aab40
15cde90c5e5
hex7b76de7b4

33142204340 has 96 divisors (see below), whose sum is σ = 79970042880. Its totient is φ = 11301986304.

The previous prime is 33142204297. The next prime is 33142204349. The reversal of 33142204340 is 4340224133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142204349) 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, 33921932 + ... + 33922908.

It is an arithmetic number, because the mean of its divisors is an integer number (833021280).

Almost surely, 233142204340 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 33142204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39985021440).

33142204340 is an abundant number, since it is smaller than the sum of its proper divisors (46827838540).

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

33142204340 is a wasteful number, since it uses less digits than its factorization.

33142204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 33142204340 its reverse (4340224133), we get a palindrome (37482428473).

The spelling of 33142204340 in words is "thirty-three billion, one hundred forty-two million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 337 674 719 977 1348 1438 1685 1954 2359 2876 3370 3595 3908 4718 4885 5033 6740 6839 7190 9436 9770 10066 11795 13678 14380 19540 20132 23590 25165 27356 34195 47180 50330 68390 100660 136780 242303 329249 484606 658498 702463 969212 1211515 1316996 1404926 1646245 1696121 2304743 2423030 2809852 3292490 3392242 3512315 4609486 4846060 4917241 6584980 6784484 7024630 8480605 9218972 9834482 11523715 14049260 16961210 19668964 23047430 24586205 33922420 46094860 49172410 98344820 236730031 473460062 946920124 1183650155 1657110217 2367300310 3314220434 4734600620 6628440868 8285551085 16571102170 33142204340