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114314034221010 = 232513433225645041
BaseRepresentation
bin11001111111011111001111…
…011001110000111111010010
3112222202022111121000210202200
4121333133033121300333102
5104440410120230033020
61043043050425024030
733035626222412511
oct3177371731607722
9488668447023680
10114314034221010
1133473345180018
12109a29aa925016
134ba29c8629980
142032b86246678
15d33884ebe590
hex67f7cf670fd2

114314034221010 has 96 divisors (see below), whose sum is σ = 320818510394928. Its totient is φ = 28073853296640.

The previous prime is 114314034220957. The next prime is 114314034221021. The reversal of 114314034221010 is 10122430413411.

It is a happy number.

114314034221010 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 403 + 42 + 210 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11191654324449 + 103122379896561 = 3345393^2 + 10154919^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112315911 + ... + 113329130.

Almost surely, 2114314034221010 is an apocalyptic number.

114314034221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114314034221010 is an abundant number, since it is smaller than the sum of its proper divisors (206504476173918).

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

114314034221010 is a wasteful number, since it uses less digits than its factorization.

114314034221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225645500 (or 225645497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114314034221010 its reverse (10122430413411), we get a palindrome (124436464634421).

The spelling of 114314034221010 in words is "one hundred fourteen trillion, three hundred fourteen billion, thirty-four million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 433 585 866 1170 1299 2165 2598 3897 4330 5629 6495 7794 11258 12990 16887 19485 28145 33774 38970 50661 56290 84435 101322 168870 253305 506610 225645041 451290082 676935123 1128225205 1353870246 2030805369 2256450410 2933385533 3384675615 4061610738 5866771066 6769351230 8800156599 10154026845 14666927665 17600313198 20308053690 26400469797 29333855330 44000782995 52800939594 88001565990 97704302753 132002348985 195408605506 264004697970 293112908259 488521513765 586225816518 879338724777 977043027530 1270155935789 1465564541295 1758677449554 2540311871578 2931129082590 3810467807367 4396693623885 6350779678945 7620935614734 8793387247770 11431403422101 12701559357890 19052339036835 22862806844202 38104678073670 57157017110505 114314034221010