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33145814940 = 22357174642271
BaseRepresentation
bin11110110111101001…
…001111111110011100
310011112222200212012120
4132313221033332130
51020340312034230
623121005502540
72252245530660
oct366751177634
9104488625176
1033145814940
1113069a48397
126510571a50
133183041664
14186616a8a0
15cdedc2310
hex7b7a4ff9c

33145814940 has 96 divisors (see below), whose sum is σ = 112305844224. Its totient is φ = 7130526720.

The previous prime is 33145814939. The next prime is 33145814941. The reversal of 33145814940 is 4941854133.

It is an interprime number because it is at equal distance from previous prime (33145814939) and next prime (33145814941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33145814892 and 33145814901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33145814941) 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, 2313996 + ... + 2328275.

It is an arithmetic number, because the mean of its divisors is an integer number (1169852544).

Almost surely, 233145814940 is an apocalyptic number.

33145814940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33145814940 is an abundant number, since it is smaller than the sum of its proper divisors (79160029284).

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

33145814940 is a wasteful number, since it uses less digits than its factorization.

33145814940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642307 (or 4642305 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 33145814940 in words is "thirty-three billion, one hundred forty-five million, eight hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 4642271 9284542 13926813 18569084 23211355 27853626 32495897 46422710 55707252 64991794 69634065 78918607 92845420 97487691 129983588 139268130 157837214 162479485 194975382 236755821 278536260 315674428 324958970 389950764 394593035 473511642 487438455 552430249 649917940 789186070 947023284 974876910 1104860498 1183779105 1578372140 1657290747 1949753820 2209720996 2367558210 2762151245 3314581494 4735116420 5524302490 6629162988 8286453735 11048604980 16572907470 33145814940