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314012121104 = 24112979778769
BaseRepresentation
bin1001001000111001001…
…01001011100000010000
31010000112001012112100102
410210130211023200100
520121044100333404
6400131041311532
731454340663353
oct4443445134020
91100461175312
10314012121104
11111198724280
1250a360355a8
13237c3ac2926
14112ac09229a
15827c8d871e
hex491c94b810

314012121104 has 80 divisors (see below), whose sum is σ = 695285856000. Its totient is φ = 136066344960.

The previous prime is 314012121077. The next prime is 314012121109. The reversal of 314012121104 is 401121210413.

It is a super-2 number, since 2×3140121211042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314012121109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13832 + ... + 792600.

It is an arithmetic number, because the mean of its divisors is an integer number (8691073200).

Almost surely, 2314012121104 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 314012121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347642928000).

314012121104 is an abundant number, since it is smaller than the sum of its proper divisors (381273734896).

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

314012121104 is a wasteful number, since it uses less digits than its factorization.

314012121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778896 (or 778890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 314012121104 its reverse (401121210413), we get a palindrome (715133331517).

The spelling of 314012121104 in words is "three hundred fourteen billion, twelve million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 116 158 176 232 316 319 464 632 638 869 1264 1276 1738 2291 2552 3476 4582 5104 6952 9164 13904 18328 25201 36656 50402 100804 201608 403216 778769 1557538 3115076 6230152 8566459 12460304 17132918 22584301 34265836 45168602 61522751 68531672 90337204 123045502 137063344 180674408 246091004 248427311 361348816 492182008 496854622 676750261 984364016 993709244 1353500522 1784159779 1987418488 2707001044 3568319558 3974836976 5414002088 7136639116 10828004176 14273278232 19625757569 28546556464 39251515138 78503030276 157006060552 314012121104