Search a number
-
+
1354306312116 = 2232103365239027
BaseRepresentation
bin10011101101010010111…
…100100101011110110100
311210110200221020221112100
4103231102330211132310
5134142104403441431
62514054300222100
7166562654500062
oct23552274453664
94713627227470
101354306312116
114823a367427a
1219a58253a930
139a931086734
1449797ba7032
15253668994e6
hex13b52f257b4

1354306312116 has 36 divisors (see below), whose sum is σ = 3456622160992. Its totient is φ = 447052567824.

The previous prime is 1354306312109. The next prime is 1354306312141. The reversal of 1354306312116 is 6112136034531.

1354306312116 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 0 + 631 + 2 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182615806 + ... + 182623221.

Almost surely, 21354306312116 is an apocalyptic number.

It is an amenable number.

1354306312116 is an abundant number, since it is smaller than the sum of its proper divisors (2102315848876).

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

1354306312116 is a wasteful number, since it uses less digits than its factorization.

1354306312116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365239140 (or 365239135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1354306312116 in words is "one trillion, three hundred fifty-four billion, three hundred six million, three hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 365239027 730478054 1095717081 1460956108 2191434162 3287151243 4382868324 6574302486 13148604972 37619619781 75239239562 112858859343 150478479124 225717718686 338576578029 451435437372 677153156058 1354306312116