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40343141214 = 232234113917099
BaseRepresentation
bin100101100100101000…
…110111101101011110
310212010120201220202100
4211210220313231132
51130110321004324
630311113305530
72625512020335
oct454450675536
9125116656670
1040343141214
1116122719122
12799aa052a6
133a5c1a68bc
141d49db0d1c
1510b1bb84c9
hex964a37b5e

40343141214 has 96 divisors (see below), whose sum is σ = 94112928000. Its totient is φ = 12458286720.

The previous prime is 40343141197. The next prime is 40343141261. The reversal of 40343141214 is 41214134304.

40343141214 is a `hidden beast` number, since 403 + 4 + 3 + 1 + 41 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350837 + ... + 2367935.

It is an arithmetic number, because the mean of its divisors is an integer number (980343000).

Almost surely, 240343141214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343141214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464000).

40343141214 is an abundant number, since it is smaller than the sum of its proper divisors (53769786786).

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

40343141214 is a wasteful number, since it uses less digits than its factorization.

40343141214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17310 (or 17307 counting only the distinct ones).

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

Adding to 40343141214 its reverse (41214134304), we get a palindrome (81557275518).

The spelling of 40343141214 in words is "forty billion, three hundred forty-three million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 139 207 246 278 369 414 417 738 834 943 1251 1886 2502 2829 3197 5658 5699 6394 8487 9591 11398 16974 17097 17099 19182 28773 34194 34198 51291 51297 57546 102582 102594 131077 153891 262154 307782 393231 393277 701059 786462 786554 1179693 1179831 1402118 2103177 2359386 2359662 2376761 3539493 4206354 4753522 6309531 7078986 7130283 12619062 14260566 16124357 21390849 32248714 42781698 48373071 54665503 96746142 97447201 109331006 145119213 163996509 194894402 290238426 292341603 327993018 491989527 584683206 877024809 983979054 1754049618 2241285623 4482571246 6723856869 13447713738 20171570607 40343141214