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429109469140 = 2251131374371557
BaseRepresentation
bin1100011111010001110…
…10101101111111010100
31112000121101011121200111
412033220322231333110
524012304011003030
6525044041052404
743000506206662
oct6175072557724
91460541147614
10429109469140
11155a91121410
126b1b7a87104
1331607373ab1
1416aaa237c32
15b26726662a
hex63e8eadfd4

429109469140 has 384 divisors, whose sum is σ = 1083386658816. Its totient is φ = 141232896000.

The previous prime is 429109469123. The next prime is 429109469161. The reversal of 429109469140 is 41964901924.

It is a super-2 number, since 2×4291094691402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770393742 + ... + 770394298.

It is an arithmetic number, because the mean of its divisors is an integer number (2821319424).

Almost surely, 2429109469140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429109469140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541693329408).

429109469140 is an abundant number, since it is smaller than the sum of its proper divisors (654277189676).

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

429109469140 is a wasteful number, since it uses less digits than its factorization.

429109469140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 429109469140 in words is "four hundred twenty-nine billion, one hundred nine million, four hundred sixty-nine thousand, one hundred forty".