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1041254536014 = 2327111093687343
BaseRepresentation
bin11110010011011111001…
…10110101001101001110
310200112122211002222212100
433021233212311031032
5114024442130123024
62114202402215530
7135141154344150
oct17115746651516
93615584088770
101041254536014
11371659049460
121499760545a6
13772612284b4
143857b49cad0
151c14345c7c9
hexf26f9b534e

1041254536014 has 96 divisors (see below), whose sum is σ = 2815317033984. Its totient is φ = 270207887040.

The previous prime is 1041254536009. The next prime is 1041254536103. The reversal of 1041254536014 is 4106354521401.

1041254536014 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 5 + 45 + 3 + 601 + 4 = 666.

It is a super-3 number, since 3×10412545360143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1041254536014.

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, 1171227 + ... + 1858569.

It is an arithmetic number, because the mean of its divisors is an integer number (29326219104).

Almost surely, 21041254536014 is an apocalyptic number.

1041254536014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041254536014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407658516992).

1041254536014 is an abundant number, since it is smaller than the sum of its proper divisors (1774062497970).

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

1041254536014 is a wasteful number, since it uses less digits than its factorization.

1041254536014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688462 (or 688459 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1041254536014 in words is "one trillion, forty-one billion, two hundred fifty-four million, five hundred thirty-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1093 1386 2186 3279 6558 7651 9837 12023 15302 19674 22953 24046 36069 45906 68859 72138 84161 108207 137718 168322 216414 252483 504966 687343 757449 1374686 1514898 2062029 4124058 4811401 6186087 7560773 9622802 12372174 14434203 15121546 22682319 28868406 43302609 45364638 52925411 68046957 86605218 105850822 136093914 158776233 317552466 476328699 751265899 952657398 1502531798 2253797697 4507595394 5258861293 6761393091 8263924889 10517722586 13522786182 15776583879 16527849778 24791774667 31553167758 47329751637 49583549334 57847474223 74375324001 94659503274 115694948446 148750648002 173542422669 347084845338 520627268007 1041254536014