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21145340454 = 237738383093
BaseRepresentation
bin10011101100010111…
…000100101000100110
32000120122200120222120
4103230113010220212
5321301201343304
613414122010410
71346000266620
oct235427045046
960518616876
1021145340454
118a70aa2287
124121646a06
131cbca71b94
141048467c10
1583b5ab0d9
hex4ec5c4a26

21145340454 has 64 divisors (see below), whose sum is σ = 49585181184. Its totient is φ = 5886902016.

The previous prime is 21145340449. The next prime is 21145340473. The reversal of 21145340454 is 45404354112.

It is a happy number.

It is a super-2 number, since 2×211453404542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 212932 + ... + 296024.

It is an arithmetic number, because the mean of its divisors is an integer number (774768456).

Almost surely, 221145340454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21145340454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24792590592).

21145340454 is an abundant number, since it is smaller than the sum of its proper divisors (28439840730).

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

21145340454 is a wasteful number, since it uses less digits than its factorization.

21145340454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83261.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 21145340454 its reverse (45404354112), we get a palindrome (66549694566).

The spelling of 21145340454 in words is "twenty-one billion, one hundred forty-five million, three hundred forty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 73 83 146 166 219 249 438 498 511 581 1022 1162 1533 1743 3066 3486 6059 12118 18177 36354 42413 83093 84826 127239 166186 249279 254478 498558 581651 1163302 1744953 3489906 6065789 6896719 12131578 13793438 18197367 20690157 36394734 41380314 42460523 48277033 84921046 96554066 127381569 144831099 254763138 289662198 503460487 1006920974 1510381461 3020762922 3524223409 7048446818 10572670227 21145340454