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1042201314 = 2327112197347
BaseRepresentation
bin111110000111101…
…011101011100010
32200122002022102200
4332013223223202
54113300420224
6251225554030
734553364540
oct7607535342
92618068380
101042201314
11495328300
12251045916
13137bc498b
149c5b4d90
156176a5c9
hex3e1ebae2

1042201314 has 144 divisors (see below), whose sum is σ = 2859240384. Its totient is φ = 268551360.

The previous prime is 1042201313. The next prime is 1042201327. The reversal of 1042201314 is 4131022401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042201313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3003289 + ... + 3003635.

It is an arithmetic number, because the mean of its divisors is an integer number (19855836).

Almost surely, 21042201314 is an apocalyptic number.

1042201314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042201314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429620192).

1042201314 is an abundant number, since it is smaller than the sum of its proper divisors (1817039070).

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

1042201314 is a wasteful number, since it uses less digits than its factorization.

1042201314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042201314 is about 32283.1428767399. The cubic root of 1042201314 is about 1013.8737340297.

Adding to 1042201314 its reverse (4131022401), we get a palindrome (5173223715).

The spelling of 1042201314 in words is "one billion, forty-two million, two hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 197 198 231 242 347 363 394 462 591 693 694 726 847 1041 1089 1182 1379 1386 1694 1773 2082 2167 2178 2429 2541 2758 3123 3546 3817 4137 4334 4858 5082 6246 6501 7287 7623 7634 8274 11451 12411 13002 14574 15169 15246 19503 21861 22902 23837 24822 26719 30338 34353 39006 41987 43722 45507 47674 53438 68359 68706 71511 80157 83974 91014 125961 136521 136718 143022 160314 166859 205077 214533 240471 251922 273042 293909 333718 377883 410154 429066 478513 480942 500577 587818 615231 751949 755766 881727 957026 1001154 1230462 1435539 1501731 1503898 1763454 2255847 2645181 2871078 3003462 4306617 4511694 5263643 5290362 6767541 8271439 8613234 10527286 13535082 15790929 16542878 24814317 31581858 47372787 49628634 57900073 74442951 94745574 115800146 148885902 173700219 347400438 521100657 1042201314