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1434201332010 = 2356725711872339
BaseRepresentation
bin10100110111101101000…
…011111001100100101010
312002002220221211110220020
4110313231003321210222
5141444221020111020
63014510223541310
7205421563115166
oct24675503714452
95062827743806
101434201332010
11503272298237
121b1b5b15a836
13a5324523035
144d5b6a15ca6
1527490a2cc40
hex14ded0f992a

1434201332010 has 128 divisors (see below), whose sum is σ = 3511505986560. Its totient is φ = 374803021824.

The previous prime is 1434201332009. The next prime is 1434201332017. The reversal of 1434201332010 is 102331024341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1434201332017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613167421 + ... + 613169759.

It is an arithmetic number, because the mean of its divisors is an integer number (27433640520).

Almost surely, 21434201332010 is an apocalyptic number.

1434201332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434201332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755752993280).

1434201332010 is an abundant number, since it is smaller than the sum of its proper divisors (2077304654550).

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

1434201332010 is a wasteful number, since it uses less digits than its factorization.

1434201332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1434201332010 its reverse (102331024341), we get a palindrome (1536532356351).

The spelling of 1434201332010 in words is "one trillion, four hundred thirty-four billion, two hundred one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 257 335 402 514 670 771 1005 1187 1285 1542 2010 2339 2374 2570 3561 3855 4678 5935 7017 7122 7710 11695 11870 14034 17219 17805 23390 34438 35085 35610 51657 70170 79529 86095 103314 156713 159058 172190 238587 258285 305059 313426 397645 470139 477174 516570 601123 610118 783565 795290 915177 940278 1192935 1202246 1525295 1567130 1803369 1830354 2350695 2385870 2776393 3005615 3050590 3606738 4575885 4701390 5552786 6011230 8329179 9016845 9151770 13881965 16658358 18033690 20438953 27763930 40275241 40877906 41645895 61316859 80550482 83291790 102194765 120825723 122633718 186018331 201376205 204389530 241651446 306584295 372036662 402752410 558054993 604128615 613168590 713533001 930091655 1116109986 1208257230 1427066002 1860183310 2140599003 2790274965 3567665005 4281198006 5580549930 7135330010 10702995015 21405990030 47806711067 95613422134 143420133201 239033555335 286840266402 478067110670 717100666005 1434201332010