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243441098004 = 2231389157111161
BaseRepresentation
bin1110001010111000111…
…0000101110100010100
3212021100211101010001010
43202232032011310110
512442031410114004
6303500231332220
723405461122336
oct3425616056424
9767324333033
10243441098004
1194274176095
123b21bb21070
1319c58286ab0
14bad56b7456
1564ec0d0a89
hex38ae385d14

243441098004 has 96 divisors (see below), whose sum is σ = 619046305920. Its totient is φ = 74009548800.

The previous prime is 243441098003. The next prime is 243441098027. The reversal of 243441098004 is 400890144342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243441098003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21806184 + ... + 21817344.

It is an arithmetic number, because the mean of its divisors is an integer number (6448399020).

Almost surely, 2243441098004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243441098004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309523152960).

243441098004 is an abundant number, since it is smaller than the sum of its proper divisors (375605207916).

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

243441098004 is a wasteful number, since it uses less digits than its factorization.

243441098004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12841 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 243441098004 in words is "two hundred forty-three billion, four hundred forty-one million, ninety-eight thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 1571 2314 3142 3471 4628 4713 6284 6942 9426 11161 13884 18852 20423 22322 33483 40846 44644 61269 66966 81692 122538 133932 139819 145093 245076 279638 290186 419457 435279 559276 580372 838914 870558 993329 1677828 1741116 1817647 1986658 2979987 3635294 3973316 5452941 5959974 7270588 10905882 11919948 12913277 17533931 21811764 25826554 35067862 38739831 51653108 52601793 70135724 77479662 105203586 154959324 210407172 227941103 455882206 683823309 911764412 1367646618 1560519859 2735293236 3121039718 4681559577 6242079436 9363119154 18726238308 20286758167 40573516334 60860274501 81147032668 121720549002 243441098004