Search a number
-
+
1400133645846 = 234132311287681
BaseRepresentation
bin10100010111111110011…
…101111111011000010110
311221211222201110201010000
4110113332131333120112
5140414433203131341
62551113523112130
7203104421424045
oct24277635773026
94854881421100
101400133645846
1149a87aa3a401
121a7431b12646
13a20554cac60
144baa427855c
1526649c5d8b6
hex145fe77f616

1400133645846 has 80 divisors (see below), whose sum is σ = 3380143824288. Its totient is φ = 430622438400.

The previous prime is 1400133645829. The next prime is 1400133645877. The reversal of 1400133645846 is 6485463310041.

1400133645846 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 3 + 3 + 64 + 584 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4723126 + ... + 5010806.

Almost surely, 21400133645846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400133645846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690071912144).

1400133645846 is an abundant number, since it is smaller than the sum of its proper divisors (1980010178442).

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

1400133645846 is a wasteful number, since it uses less digits than its factorization.

1400133645846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290019 (or 290010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 1400133645846 its reverse (6485463310041), we get a palindrome (7885596955887).

The spelling of 1400133645846 in words is "one trillion, four hundred billion, one hundred thirty-three million, six hundred forty-five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 2311 4622 6933 13866 20799 30043 41598 60086 62397 90129 124794 180258 187191 270387 287681 374382 540774 575362 811161 863043 1622322 1726086 2433483 2589129 3739853 4866966 5178258 7479706 7767387 11219559 15534774 22439118 23302161 33658677 46604322 67317354 100976031 201952062 302928093 605856186 664830791 1329661582 1994492373 3988984746 5983477119 8642800283 11966954238 17285600566 17950431357 25928400849 35900862714 51856801698 53851294071 77785202547 107702588142 155570405094 233355607641 466711215282 700066822923 1400133645846