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1010004412014 = 2321343781712841
BaseRepresentation
bin11101011001010001111…
…01000100011001101110
310120112222221111012202100
432230220331010121232
5113021442112141024
62051553431435530
7132653564565003
oct16545075043156
93515887435670
101010004412014
1135a3821837a4
121438b4525ba6
1374320b6c270
1436c54dd78aa
151b414be67c9
hexeb28f4466e

1010004412014 has 96 divisors (see below), whose sum is σ = 2411979714144. Its totient is φ = 303480898560.

The previous prime is 1010004411959. The next prime is 1010004412093. The reversal of 1010004412014 is 4102144000101.

1010004412014 is a `hidden beast` number, since 10 + 10 + 0 + 0 + 441 + 201 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78648234 + ... + 78661074.

It is an arithmetic number, because the mean of its divisors is an integer number (25124788689).

Almost surely, 21010004412014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010004412014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205989857072).

1010004412014 is an abundant number, since it is smaller than the sum of its proper divisors (1401975302130).

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

1010004412014 is a wasteful number, since it uses less digits than its factorization.

1010004412014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20722 (or 20719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1010004412014 its reverse (4102144000101), we get a palindrome (5112148412115).

The spelling of 1010004412014 in words is "one trillion, ten billion, four million, four hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 7817 10062 12841 15634 23451 25682 38523 46902 70353 77046 101621 115569 140706 166933 203242 231138 304863 333866 336131 500799 552163 609726 672262 914589 1001598 1008393 1104326 1502397 1656489 1829178 2016786 3004794 3025179 3312978 4369703 4969467 6050358 7178119 8739406 9938934 13109109 14356238 21534357 26218218 39327327 43068714 64603071 78654654 100378097 129206142 200756194 301134291 602268582 903402873 1304915261 1806805746 2609830522 3914745783 4316258171 7829491566 8632516342 11744237349 12948774513 23488474698 25897549026 38846323539 56111356223 77692647078 112222712446 168334068669 336668137338 505002206007 1010004412014