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240042402012 = 223741383181981
BaseRepresentation
bin1101111110001110100…
…1000110000011011100
3211221120222010110121210
43133203221012003130
512413101323331022
6302135101424420
723225321515560
oct3374351060334
9757528113553
10240042402012
119288a750526
123a63186b110
13198360c968a
14b8921696a0
15639da34a0c
hex37e3a460dc

240042402012 has 96 divisors (see below), whose sum is σ = 657441275904. Its totient is φ = 66735705600.

The previous prime is 240042402007. The next prime is 240042402023. The reversal of 240042402012 is 210204240042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 240042402012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228062 + ... + 1410042.

It is an arithmetic number, because the mean of its divisors is an integer number (6848346624).

Almost surely, 2240042402012 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 240042402012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328720637952).

240042402012 is an abundant number, since it is smaller than the sum of its proper divisors (417398873892).

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

240042402012 is a wasteful number, since it uses less digits than its factorization.

240042402012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182419 (or 182417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 240042402012 its reverse (210204240042), we get a palindrome (450246642054).

The spelling of 240042402012 in words is "two hundred forty billion, forty-two million, four hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 383 492 574 766 861 1148 1149 1532 1722 2298 2681 3444 4596 5362 8043 10724 15703 16086 31406 32172 47109 62812 94218 109921 181981 188436 219842 329763 363962 439684 545943 659526 727924 1091886 1273867 1319052 2183772 2547734 3821601 5095468 7461221 7643202 14922442 15286404 22383663 29844884 44767326 52228547 69698723 89534652 104457094 139397446 156685641 208914188 209096169 278794892 313371282 418192338 487891061 626742564 836384676 975782122 1463673183 1951564244 2857647643 2927346366 5715295286 5854692732 8572942929 11430590572 17145885858 20003533501 34291771716 40007067002 60010600503 80014134004 120021201006 240042402012