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3540023103114 = 233534111300877
BaseRepresentation
bin110011100000111001110…
…100011100111010001010
3110112102102022000021201000
4303200321310130322022
5430444431403244424
611310133020435430
7513521033616321
oct63407164347212
913472368007630
103540023103114
1111453518319a3
124920b66a8b76
131c8a9075bbc4
14c34a37bd0b8
156213ddc43c9
hex33839d1ce8a

3540023103114 has 64 divisors (see below), whose sum is σ = 8017122977280. Its totient is φ = 1157457936960.

The previous prime is 3540023103101. The next prime is 3540023103203. The reversal of 3540023103114 is 4113013200453.

It is a happy number.

3540023103114 is a `hidden beast` number, since 3 + 540 + 0 + 2 + 3 + 1 + 0 + 3 + 114 = 666.

3540023103114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11615244 + ... + 11916120.

It is an arithmetic number, because the mean of its divisors is an integer number (125267546520).

Almost surely, 23540023103114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540023103114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008561488640).

3540023103114 is an abundant number, since it is smaller than the sum of its proper divisors (4477099874166).

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

3540023103114 is a wasteful number, since it uses less digits than its factorization.

3540023103114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305052 (or 305046 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3540023103114 its reverse (4113013200453), we get a palindrome (7653036303567).

The spelling of 3540023103114 in words is "three trillion, five hundred forty billion, twenty-three million, one hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 4111 8222 12333 24666 36999 73998 110997 217883 221994 300877 435766 601754 653649 902631 1307298 1805262 1960947 2707893 3921894 5415786 5882841 8123679 11765682 15946481 16247358 31892962 47839443 95678886 143518329 287036658 430554987 861109974 1236905347 2473810694 3710716041 7421432082 11132148123 22264296246 33396444369 65555983391 66792888738 131111966782 196667950173 393335900346 590003850519 1180007701038 1770011551557 3540023103114