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40414829352 = 233103139117619
BaseRepresentation
bin100101101000111010…
…010101101100101000
310212022120122001101120
4211220322111230220
51130232144014402
630322154015240
72630342244552
oct455072255450
9125276561346
1040414829352
111615a132517
1279baa17520
133a70cb6911
141d557124d2
1510b81293bc
hex968e95b28

40414829352 has 64 divisors (see below), whose sum is σ = 102752832000. Its totient is φ = 13244727744.

The previous prime is 40414829333. The next prime is 40414829353. The reversal of 40414829352 is 25392841404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40414829353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284799 + ... + 402417.

It is an arithmetic number, because the mean of its divisors is an integer number (1605513000).

Almost surely, 240414829352 is an apocalyptic number.

It is an amenable number.

40414829352 is an abundant number, since it is smaller than the sum of its proper divisors (62338002648).

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

40414829352 is a wasteful number, since it uses less digits than its factorization.

40414829352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117870 (or 117866 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 40414829352 in words is "forty billion, four hundred fourteen million, eight hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 103 139 206 278 309 412 417 556 618 824 834 1112 1236 1668 2472 3336 14317 28634 42951 57268 85902 114536 117619 171804 235238 343608 352857 470476 705714 940952 1411428 2822856 12114757 16349041 24229514 32698082 36344271 48459028 49047123 65396164 72688542 96918056 98094246 130792328 145377084 196188492 290754168 392376984 1683951223 3367902446 5051853669 6735804892 10103707338 13471609784 20207414676 40414829352