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21441410443100 = 225216710223125591
BaseRepresentation
bin1001110000000001101111…
…01001110010011101011100
32210220210000202111202211102
410320000313221302131130
510302244002033134400
6113334014210212232
74342043065441514
oct470006751623534
983823022452742
1021441410443100
11691728424511a
1224a35a4b84078
13bc6bbb23707b
14541aac4a4844
15272b187369d5
hex138037a7275c

21441410443100 has 72 divisors (see below), whose sum is σ = 46811421877248. Its totient is φ = 8524305707200.

The previous prime is 21441410443073. The next prime is 21441410443133. The reversal of 21441410443100 is 134401414412.

It is a happy number.

It is a super-2 number, since 2×214414104431002 (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 170661305 + ... + 170786895.

It is an arithmetic number, because the mean of its divisors is an integer number (650158637184).

Almost surely, 221441410443100 is an apocalyptic number.

21441410443100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21441410443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405710938624).

21441410443100 is an abundant number, since it is smaller than the sum of its proper divisors (25370011434148).

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

21441410443100 is a wasteful number, since it uses less digits than its factorization.

21441410443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135995 (or 135988 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 21441410443100 its reverse (134401414412), we get a palindrome (21575811857512).

The spelling of 21441410443100 in words is "twenty-one trillion, four hundred forty-one billion, four hundred ten million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 10223 16700 20446 40892 51115 102230 125591 204460 251182 255575 502364 511150 627955 1022300 1255910 1707241 2511820 3139775 3414482 6279550 6828964 8536205 12559100 17072410 20973697 34144820 41947394 42681025 83894788 85362050 104868485 170724100 209736970 419473940 524342425 1048684850 1283916793 2097369700 2567833586 5135667172 6419583965 12839167930 25678335860 32097919825 64195839650 128391679300 214414104431 428828208862 857656417724 1072070522155 2144141044310 4288282088620 5360352610775 10720705221550 21441410443100