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201134240440 = 23571901377873
BaseRepresentation
bin1011101101010010001…
…0001111001010111000
3201020011101120001212121
42323110202033022320
511243410331143230
6232222204451024
720350202556310
oct2732442171270
9636141501777
10201134240440
11783340428a1
1232b93549a74
1315c752cac73
149a409b4440
155372d2077a
hex2ed488f2b8

201134240440 has 64 divisors (see below), whose sum is σ = 517475770560. Its totient is φ = 68923852800.

The previous prime is 201134240429. The next prime is 201134240441. The reversal of 201134240440 is 44042431102.

201134240440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201134240441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343344 + ... + 721216.

It is an arithmetic number, because the mean of its divisors is an integer number (8085558915).

Almost surely, 2201134240440 is an apocalyptic number.

201134240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201134240440 is an abundant number, since it is smaller than the sum of its proper divisors (316341530120).

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

201134240440 is a wasteful number, since it uses less digits than its factorization.

201134240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379792 (or 379788 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 201134240440 its reverse (44042431102), we get a palindrome (245176671542).

The spelling of 201134240440 in words is "two hundred one billion, one hundred thirty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1901 3802 7604 9505 13307 15208 19010 26614 38020 53228 66535 76040 106456 133070 266140 377873 532280 755746 1511492 1889365 2645111 3022984 3778730 5290222 7557460 10580444 13225555 15114920 21160888 26451110 52902220 105804440 718336573 1436673146 2873346292 3591682865 5028356011 5746692584 7183365730 10056712022 14366731460 20113424044 25141780055 28733462920 40226848088 50283560110 100567120220 201134240440