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1340035432120 = 23573118879111
BaseRepresentation
bin10011100000000000010…
…101011111111010111000
311202002212101002010110101
4103200000111133322320
5133423343032311440
62503334225525144
7165546220144000
oct23400025377270
94662771063411
101340035432120
11477340080980
1219785b1a37b4
1399498604348
1448c0273b000
1524ccdaaa69a
hex1380055feb8

1340035432120 has 128 divisors (see below), whose sum is σ = 3835776384000. Its totient is φ = 417673334400.

The previous prime is 1340035432111. The next prime is 1340035432129. The reversal of 1340035432120 is 212345300431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1340035432111) and next prime (1340035432129).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340035432129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4288636 + ... + 4590475.

It is an arithmetic number, because the mean of its divisors is an integer number (29967003000).

Almost surely, 21340035432120 is an apocalyptic number.

1340035432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340035432120 is an abundant number, since it is smaller than the sum of its proper divisors (2495740951880).

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

1340035432120 is a wasteful number, since it uses less digits than its factorization.

1340035432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879154 (or 8879136 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 1340035432120 in words is "one trillion, three hundred forty billion, thirty-five million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 343 385 392 440 490 539 616 686 770 980 1078 1372 1540 1715 1960 2156 2695 2744 3080 3430 3773 4312 5390 6860 7546 10780 13720 15092 18865 21560 30184 37730 75460 150920 8879111 17758222 35516444 44395555 62153777 71032888 88791110 97670221 124307554 177582220 195340442 248615108 310768885 355164440 390680884 435076439 488351105 497230216 621537770 683691547 781361768 870152878 976702210 1243075540 1367383094 1740305756 1953404420 2175382195 2486151080 2734766188 3045535073 3418457735 3480611512 3906808840 4350764390 4785840829 5469532376 6091070146 6836915470 8701528780 9571681658 12182140292 13673830940 15227675365 17403057560 19143363316 23929204145 24364280584 27347661880 30455350730 33500885803 38286726632 47858408290 60910701460 67001771606 95716816580 121821402920 134003543212 167504429015 191433633160 268007086424 335008858030 670017716060 1340035432120