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1350001134440 = 235725911674171
BaseRepresentation
bin10011101001010010010…
…101101000101101101000
311210001120220022021000022
4103221102111220231220
5134104300242300230
62512103145300012
7166351200210500
oct23512225505550
94701526267008
101350001134440
1148059449a5a2
12199780794608
139a3c617361a
14494aa0d2a00
15251b39411e5
hex13a52568b68

1350001134440 has 96 divisors (see below), whose sum is σ = 3593310141600. Its totient is φ = 455012449920.

The previous prime is 1350001134413. The next prime is 1350001134473. The reversal of 1350001134440 is 444311000531.

It is a happy number.

It is a super-2 number, since 2×13500011344402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5721446 + ... + 5952725.

It is an arithmetic number, because the mean of its divisors is an integer number (37430313975).

Almost surely, 21350001134440 is an apocalyptic number.

1350001134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350001134440 is an abundant number, since it is smaller than the sum of its proper divisors (2243309007160).

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

1350001134440 is a wasteful number, since it uses less digits than its factorization.

1350001134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674255 (or 11674244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1350001134440 its reverse (444311000531), we get a palindrome (1794312134971).

The spelling of 1350001134440 in words is "one trillion, three hundred fifty billion, one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 59 70 98 118 140 196 236 245 280 295 392 413 472 490 590 826 980 1180 1652 1960 2065 2360 2891 3304 4130 5782 8260 11564 14455 16520 23128 28910 57820 115640 11674171 23348342 46696684 58370855 81719197 93393368 116741710 163438394 233483420 326876788 408595985 466966840 572034379 653753576 688776089 817191970 1144068758 1377552178 1634383940 2288137516 2755104356 2860171895 3268767880 3443880445 4576275032 4821432623 5510208712 5720343790 6887760890 9642865246 11440687580 13775521780 19285730492 22881375160 24107163115 27551043560 33750028361 38571460984 48214326230 67500056722 96428652460 135000113444 168750141805 192857304920 270000226888 337500283610 675000567220 1350001134440