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40230144414 = 2323182787179
BaseRepresentation
bin100101011101111001…
…110100100110011110
310211211201010002021200
4211131321310212132
51124342404110124
630251555340330
72622640404525
oct453571644636
9124751102250
1040230144414
111607495aa39
127968bb16a6
133a419624a5
141d38d994bc
1510a6ce7bc9
hex95de7499e

40230144414 has 48 divisors (see below), whose sum is σ = 90086929920. Its totient is φ = 12961625040.

The previous prime is 40230144413. The next prime is 40230144421. The reversal of 40230144414 is 41444103204.

40230144414 is a `hidden beast` number, since 4 + 0 + 230 + 14 + 4 + 414 = 666.

It is a super-4 number, since 4×402301444144 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230144413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417877 + ... + 505055.

It is an arithmetic number, because the mean of its divisors is an integer number (1876811040).

Almost surely, 240230144414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40230144414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043464960).

40230144414 is an abundant number, since it is smaller than the sum of its proper divisors (49856785506).

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

40230144414 is a wasteful number, since it uses less digits than its factorization.

40230144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88045 (or 88042 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40230144414 its reverse (41444103204), we get a palindrome (81674247618).

The spelling of 40230144414 in words is "forty billion, two hundred thirty million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 827 1654 2481 4962 7443 14886 25637 51274 76911 87179 153822 174358 230733 261537 461466 523074 784611 1569222 2702549 5405098 8107647 16215294 24322941 48645882 72097033 144194066 216291099 432582198 648873297 1297746594 2235008023 4470016046 6705024069 13410048138 20115072207 40230144414