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230103144414 = 233111350958543
BaseRepresentation
bin1101011001001100110…
…1110101011111011110
3210222221021122212102000
43112103031311133132
512232222401110124
6253412524543130
722424112312303
oct3262315653736
9728837585360
10230103144414
118964a254150
12387190b1aa6
1318910b89070
14b1cc0d90aa
155ebb1746c9
hex35933757de

230103144414 has 128 divisors (see below), whose sum is σ = 601925990400. Its totient is φ = 64236965760.

The previous prime is 230103144391. The next prime is 230103144461. The reversal of 230103144414 is 414441301032.

230103144414 is a `hidden beast` number, since 2 + 3 + 0 + 103 + 144 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3901227 + ... + 3959769.

It is an arithmetic number, because the mean of its divisors is an integer number (4702546800).

Almost surely, 2230103144414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230103144414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300962995200).

230103144414 is an abundant number, since it is smaller than the sum of its proper divisors (371822845986).

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

230103144414 is a wasteful number, since it uses less digits than its factorization.

230103144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59087 (or 59081 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 230103144414 its reverse (414441301032), we get a palindrome (644544445446).

The spelling of 230103144414 in words is "two hundred thirty billion, one hundred three million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 509 594 702 858 1018 1287 1527 2574 3054 3861 4581 5599 6617 7722 9162 11198 13234 13743 16797 19851 27486 33594 39702 50391 58543 59553 72787 100782 117086 119106 145574 151173 175629 178659 218361 302346 351258 357318 436722 526887 643973 655083 761059 1053774 1287946 1310166 1522118 1580661 1931919 1965249 2283177 3161322 3863838 3930498 4566354 5795757 6849531 8371649 11591514 13699062 16743298 17387271 20548593 25114947 29798387 34774542 41097186 50229894 59596774 75344841 89395161 150689682 178790322 226034523 268185483 327782257 387379031 452069046 536370966 655564514 774758062 804556449 983346771 1162137093 1609112898 1966693542 2324274186 2950040313 3486411279 4261169341 5900080626 6972822558 8522338682 8850120939 10459233837 12783508023 17700241878 20918467674 25567016046 38350524069 76701048138 115051572207 230103144414