Search a number
-
+
1240134432240 = 243511469747891
BaseRepresentation
bin10010000010111101110…
…001011011010111110000
311101120000002201111211210
4102002331301123113300
5130304243403312430
62345413200440120
7155411454514404
oct22027561332760
94346002644753
101240134432240
11438a35614060
1218041a619040
138cc37478272
14440468cb104
15223d33c92b0
hex120bdc5b5f0

1240134432240 has 80 divisors (see below), whose sum is σ = 4193909179776. Its totient is φ = 300638649600.

The previous prime is 1240134432239. The next prime is 1240134432241. The reversal of 1240134432240 is 422344310421.

It is an interprime number because it is at equal distance from previous prime (1240134432239) and next prime (1240134432241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12401344322403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1240134432198 and 1240134432207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240134432241) 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, 234871306 + ... + 234876585.

Almost surely, 21240134432240 is an apocalyptic number.

1240134432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240134432240 is an abundant number, since it is smaller than the sum of its proper divisors (2953774747536).

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

1240134432240 is a wasteful number, since it uses less digits than its factorization.

1240134432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469747918 (or 469747912 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1240134432240 its reverse (422344310421), we get a palindrome (1662478742661).

The spelling of 1240134432240 in words is "one trillion, two hundred forty billion, one hundred thirty-four million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 469747891 939495782 1409243673 1878991564 2348739455 2818487346 3757983128 4697478910 5167226801 5636974692 7046218365 7515966256 9394957820 10334453602 11273949384 14092436730 15501680403 18789915640 20668907204 22547898768 25836134005 28184873460 31003360806 37579831280 41337814408 51672268010 56369746920 62006721612 77508402015 82675628816 103344536020 112739493840 124013443224 155016804030 206689072040 248026886448 310033608060 413378144080 620067216120 1240134432240