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14100231340432 = 2429311979495337
BaseRepresentation
bin1100110100101111011101…
…0001111100000110010000
31211220222011100212121102101
43031023313101330012100
53322004233210343212
645553320140330144
72653464606604006
oct315136721740620
954828140777371
1014100231340432
114546968aaa226
1216b8876b43954
137b3852671b03
1436a65210ca76
15196ba55d3157
hexcd2f747c190

14100231340432 has 80 divisors (see below), whose sum is σ = 29187692582400. Its totient is φ = 6584085365760.

The previous prime is 14100231340417. The next prime is 14100231340453. The reversal of 14100231340432 is 23404313200141.

It is a happy number.

14100231340432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14100231340432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28218268 + ... + 28713604.

It is an arithmetic number, because the mean of its divisors is an integer number (364846157280).

Almost surely, 214100231340432 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 14100231340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593846291200).

14100231340432 is an abundant number, since it is smaller than the sum of its proper divisors (15087461241968).

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

14100231340432 is a wasteful number, since it uses less digits than its factorization.

14100231340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497384 (or 497378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14100231340432 its reverse (23404313200141), we get a palindrome (37504544540573).

The spelling of 14100231340432 in words is "fourteen trillion, one hundred billion, two hundred thirty-one million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 1979 3596 3958 7192 7916 14384 15832 31664 57391 61349 114782 122698 229564 245396 459128 490792 495337 918256 981584 990674 1779121 1981348 3558242 3962696 7116484 7925392 14232968 14364773 15355447 28465936 28729546 30710894 57459092 61421788 114918184 122843576 229836368 245687152 445307963 890615926 980271923 1781231852 1960543846 3562463704 3921087692 7124927408 7842175384 15684350768 28427885767 30388429613 56855771534 60776859226 113711543068 121553718452 227423086136 243107436904 454846172272 486214873808 881264458777 1762528917554 3525057835108 7050115670216 14100231340432