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420140031012 = 2232134761313127
BaseRepresentation
bin1100001110100100100…
…11000001110000100100
31111011110021120221200100
412013102103001300210
523340421321443022
6521002030544100
742232314224412
oct6072223016044
91434407527610
10420140031012
111521a9104829
1269514068030
1330808034460
1416498cda2b2
15addeac51ac
hex61d24c1c24

420140031012 has 144 divisors (see below), whose sum is σ = 1187201014272. Its totient is φ = 124448797440.

The previous prime is 420140030993. The next prime is 420140031019. The reversal of 420140031012 is 210130041024.

420140031012 is a `hidden beast` number, since 420 + 140 + 0 + 3 + 101 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420140031019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185193 + ... + 1498319.

It is an arithmetic number, because the mean of its divisors is an integer number (8244451488).

Almost surely, 2420140031012 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 420140031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593600507136).

420140031012 is an abundant number, since it is smaller than the sum of its proper divisors (767060983260).

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

420140031012 is a wasteful number, since it uses less digits than its factorization.

420140031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313258 (or 313253 counting only the distinct ones).

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

Adding to 420140031012 its reverse (210130041024), we get a palindrome (630270072036).

The spelling of 420140031012 in words is "four hundred twenty billion, one hundred forty million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 61 78 94 117 122 141 156 183 188 234 244 282 366 423 468 549 564 611 732 793 846 1098 1222 1586 1692 1833 2196 2379 2444 2867 3172 3666 4758 5499 5734 7137 7332 8601 9516 10998 11468 14274 17202 21996 25803 28548 34404 37271 51606 74542 103212 111813 149084 223626 313127 335439 447252 626254 670878 939381 1252508 1341756 1878762 2818143 3757524 4070651 5636286 8141302 11272572 12211953 14716969 16282604 19100747 24423906 29433938 36635859 38201494 44150907 48847812 57302241 58867876 73271718 76402988 88301814 114604482 132452721 146543436 171906723 176603628 191320597 229208964 248309711 264905442 343813446 382641194 496619422 529810884 573961791 687626892 744929133 765282388 897735109 993238844 1147923582 1489858266 1721885373 1795470218 2234787399 2295847164 2693205327 2979716532 3443770746 3590940436 4469574798 5386410654 6887541492 8079615981 8939149596 10772821308 11670556417 16159231962 23341112834 32318463924 35011669251 46682225668 70023338502 105035007753 140046677004 210070015506 420140031012