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1414040023144 = 237271271187477
BaseRepresentation
bin10100100100111011010…
…110100111000001101000
312000011212212202212111001
4110210323112213001220
5141131423221220034
63001333453044344
7204106141611100
oct24447326470150
95004785685431
101414040023144
114a5766802501
121aa0731866b4
13a34605b9c88
144c623140200
1526bb0a4ba14
hex1493b5a7068

1414040023144 has 96 divisors (see below), whose sum is σ = 3139191624960. Its totient is φ = 595273795200.

The previous prime is 1414040023139. The next prime is 1414040023157. The reversal of 1414040023144 is 4413200404141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7448734 + ... + 7636210.

It is an arithmetic number, because the mean of its divisors is an integer number (32699912760).

Almost surely, 21414040023144 is an apocalyptic number.

1414040023144 is a gapful number since it is divisible by the number (14) 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 1414040023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569595812480).

1414040023144 is an abundant number, since it is smaller than the sum of its proper divisors (1725151601816).

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

1414040023144 is a wasteful number, since it uses less digits than its factorization.

1414040023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187839 (or 187828 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1414040023144 its reverse (4413200404141), we get a palindrome (5827240427285).

The spelling of 1414040023144 in words is "one trillion, four hundred fourteen billion, forty million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 71 98 142 196 271 284 392 497 542 568 994 1084 1897 1988 2168 3479 3794 3976 6958 7588 13279 13916 15176 19241 26558 27832 38482 53116 76964 106232 134687 153928 187477 269374 374954 538748 749908 942809 1077496 1312339 1499816 1885618 2624678 3771236 5249356 7542472 9186373 10498712 13310867 18372746 26621734 36745492 50806267 53243468 73490984 93176069 101612534 106486936 186352138 203225068 355643869 372704276 406450136 652232483 711287738 745408552 1304464966 1422575476 2489507083 2608929932 2845150952 3607244957 4979014166 5217859864 7214489914 9958028332 14428979828 19916056664 25250714699 28857959656 50501429398 101002858796 176755002893 202005717592 353510005786 707020011572 1414040023144