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434001142140 = 223536719709407
BaseRepresentation
bin1100101000011000111…
…10111110000101111100
31112111020021201100112120
412110030132332011330
524102313243022030
6531213302402540
743232644561206
oct6241436760574
91474207640476
10434001142140
1115807136a775
1270142130450
1331c06934967
1417011b7b776
15b451921010
hex650c7be17c

434001142140 has 48 divisors (see below), whose sum is σ = 1218514440192. Its totient is φ = 115418281536.

The previous prime is 434001142139. The next prime is 434001142147. The reversal of 434001142140 is 41241100434.

It is a self number, because there is not a number n which added to its sum of digits gives 434001142140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434001142147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9832684 + ... + 9876723.

It is an arithmetic number, because the mean of its divisors is an integer number (25385717504).

Almost surely, 2434001142140 is an apocalyptic number.

It is an amenable number.

434001142140 is an abundant number, since it is smaller than the sum of its proper divisors (784513298052).

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

434001142140 is a wasteful number, since it uses less digits than its factorization.

434001142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709786 (or 19709784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 434001142140 its reverse (41241100434), we get a palindrome (475242242574).

The spelling of 434001142140 in words is "four hundred thirty-four billion, one million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 5505 7340 11010 22020 19709407 39418814 59128221 78837628 98547035 118256442 197094070 236512884 295641105 394188140 591282210 1182564420 7233352369 14466704738 21700057107 28933409476 36166761845 43400114214 72333523690 86800228428 108500285535 144667047380 217000571070 434001142140