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3140414442 = 2331137433323
BaseRepresentation
bin1011101100101110…
…1110101111101010
322002212020120202000
42323023232233222
522412421230232
61235341551430
7140552040144
oct27313565752
98085216660
103140414442
111371755940
12737875576
133b08083c9
1421b117c94
15135a7d27c
hexbb2eebea

3140414442 has 128 divisors (see below), whose sum is σ = 8003128320. Its totient is φ = 904115520.

The previous prime is 3140414413. The next prime is 3140414447. The reversal of 3140414442 is 2444140413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3140414447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943393 + ... + 946715.

It is an arithmetic number, because the mean of its divisors is an integer number (62524440).

Almost surely, 23140414442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140414442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001564160).

3140414442 is an abundant number, since it is smaller than the sum of its proper divisors (4862713878).

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

3140414442 is a wasteful number, since it uses less digits than its factorization.

3140414442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3140414442 is about 56039.4007997944. The cubic root of 3140414442 is about 1464.4087729132.

Adding to 3140414442 its reverse (2444140413), we get a palindrome (5584554855).

The spelling of 3140414442 in words is "three billion, one hundred forty million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 43 54 66 74 86 99 111 129 198 222 258 297 333 387 407 473 594 666 774 814 946 999 1161 1221 1419 1591 1998 2322 2442 2838 3182 3323 3663 4257 4773 6646 7326 8514 9546 9969 10989 12771 14319 17501 19938 21978 25542 28638 29907 35002 36553 42957 52503 59814 73106 85914 89721 105006 109659 122951 142889 157509 179442 219318 245902 285778 315018 328977 368853 428667 472527 657954 737706 857334 945054 986931 1106559 1286001 1352461 1571779 1973862 2213118 2572002 2704922 3143558 3319677 3858003 4057383 4715337 5286893 6639354 7716006 8114766 9430674 10573786 12172149 14146011 15860679 24344298 28292022 31721358 36516447 42438033 47582037 58155823 73032894 84876066 95164074 116311646 142746111 174467469 285492222 348934938 523402407 1046804814 1570207221 3140414442