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145110035040 = 2535302312573
BaseRepresentation
bin1000011100100100111…
…0110110101001100000
3111212112222010120000020
42013021032312221200
54334141132110130
6150355043353440
713324650642435
oct2071116665140
9455488116006
10145110035040
11565a49170a3
1224159082880
13108b7468b79
147048173b8c
153b94660e10
hex21c93b6a60

145110035040 has 48 divisors (see below), whose sum is σ = 457096611888. Its totient is φ = 38696009216.

The previous prime is 145110035029. The next prime is 145110035041. The reversal of 145110035040 is 40530011541.

It is a happy number.

145110035040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145110035040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145110035041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151155807 + ... + 151156766.

It is an arithmetic number, because the mean of its divisors is an integer number (9522846081).

Almost surely, 2145110035040 is an apocalyptic number.

145110035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145110035040 is an abundant number, since it is smaller than the sum of its proper divisors (311986576848).

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

145110035040 is a wasteful number, since it uses less digits than its factorization.

145110035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302312591 (or 302312583 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 145110035040 its reverse (40530011541), we get a palindrome (185640046581).

The spelling of 145110035040 in words is "one hundred forty-five billion, one hundred ten million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 302312573 604625146 906937719 1209250292 1511562865 1813875438 2418500584 3023125730 3627750876 4534688595 4837001168 6046251460 7255501752 9069377190 9674002336 12092502920 14511003504 18138754380 24185005840 29022007008 36277508760 48370011680 72555017520 145110035040