Search a number
-
+
31353120134240 = 2554211254737097
BaseRepresentation
bin1110010000011111101111…
…00101101001010001100000
311010000022212211221121212112
413020033313211221101200
513102142142223243430
6150403231411414452
76414121354636622
oct710176745512140
9133008784847775
1031353120134240
119a98868a3a333
1236245405b4428
131465781830988
147a56db7c0c12
15395877468195
hex1c83f7969460

31353120134240 has 96 divisors (see below), whose sum is σ = 74255607879264. Its totient is φ = 12510124462080.

The previous prime is 31353120134209. The next prime is 31353120134251. The reversal of 31353120134240 is 4243102135313.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 31353120134197 and 31353120134206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845147372 + ... + 845184468.

It is an arithmetic number, because the mean of its divisors is an integer number (773495915409).

Almost surely, 231353120134240 is an apocalyptic number.

It is an amenable number.

31353120134240 is an abundant number, since it is smaller than the sum of its proper divisors (42902487745024).

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

31353120134240 is a wasteful number, since it uses less digits than its factorization.

31353120134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50080 (or 50072 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 31353120134240 its reverse (4243102135313), we get a palindrome (35596222269553).

The spelling of 31353120134240 in words is "thirty-one trillion, three hundred fifty-three billion, one hundred twenty million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 421 842 1684 2105 3368 4210 6736 8420 12547 13472 16840 25094 33680 37097 50188 62735 67360 74194 100376 125470 148388 185485 200752 250940 296776 370970 401504 501880 593552 741940 1003760 1187104 1483880 2007520 2967760 5282287 5935520 10564574 15617837 21129148 26411435 31235674 42258296 52822870 62471348 78089185 84516592 105645740 124942696 156178370 169033184 211291480 249885392 312356740 422582960 465456059 499770784 624713480 845165920 930912118 1249426960 1861824236 2327280295 2498853920 3723648472 4654560590 7447296944 9309121180 14894593888 18618242360 37236484720 74472969440 195957000839 391914001678 783828003356 979785004195 1567656006712 1959570008390 3135312013424 3919140016780 6270624026848 7838280033560 15676560067120 31353120134240