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1324000114440 = 2335291583240341
BaseRepresentation
bin10011010001000100100…
…011100111011100001000
311200120110211210120220120
4103101010203213130020
5133143023012130230
62452123125223240
7164440646166453
oct23210443473410
94616424716816
101324000114440
11470561603413
12194724b61b20
1397b114338a3
1448120c1449a
1524690e3a310
hex134448e7708

1324000114440 has 128 divisors (see below), whose sum is σ = 4111578662400. Its totient is φ = 340675220480.

The previous prime is 1324000114391. The next prime is 1324000114471. The reversal of 1324000114440 is 444110004231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1324000114440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5388670 + ... + 5629010.

It is an arithmetic number, because the mean of its divisors is an integer number (32121708300).

Almost surely, 21324000114440 is an apocalyptic number.

1324000114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324000114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055789331200).

1324000114440 is an abundant number, since it is smaller than the sum of its proper divisors (2787578547960).

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

1324000114440 is a wasteful number, since it uses less digits than its factorization.

1324000114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241967 (or 241963 counting only the distinct ones).

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

Adding to 1324000114440 its reverse (444110004231), we get a palindrome (1768110118671).

The spelling of 1324000114440 in words is "one trillion, three hundred twenty-four billion, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1583 1740 3166 3480 4749 6332 7915 9498 12664 15830 18996 23745 31660 37992 45907 47490 63320 91814 94980 137721 183628 189960 229535 240341 275442 367256 459070 480682 550884 688605 721023 918140 961364 1101768 1201705 1377210 1442046 1836280 1922728 2403410 2754420 2884092 3605115 4806820 5508840 5768184 6969889 7210230 9613640 13939778 14420460 20909667 27879556 28840920 34849445 41819334 55759112 69698890 83638668 104548335 139397780 167277336 209096670 278795560 380459803 418193340 760919606 836386680 1141379409 1521839212 1902299015 2282758818 3043678424 3804598030 4565517636 5706897045 7609196060 9131035272 11033334287 11413794090 15218392120 22066668574 22827588180 33100002861 44133337148 45655176360 55166671435 66200005722 88266674296 110333342870 132400011444 165500014305 220666685740 264800022888 331000028610 441333371480 662000057220 1324000114440