Search a number
-
+
32243120413140 = 22357135905333409
BaseRepresentation
bin1110101010011001011111…
…01111010001100111010100
311020011102010111111020120010
413111030233233101213110
513211232402311210030
6152324141322240220
76535326403326420
oct725145757214724
9136142114436503
1032243120413140
11a30125999570a
123748b23956070
1314cb689699540
147d680aab7b80
153adab6b3e6b0
hex1d532fbd19d4

32243120413140 has 96 divisors (see below), whose sum is σ = 111114753442560. Its totient is φ = 6802944086016.

The previous prime is 32243120413103. The next prime is 32243120413169. The reversal of 32243120413140 is 4131402134223.

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 = 32243120413098 and 32243120413107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952661245 + ... + 2952672164.

It is an arithmetic number, because the mean of its divisors is an integer number (1157445348360).

Almost surely, 232243120413140 is an apocalyptic number.

32243120413140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32243120413140 is an abundant number, since it is smaller than the sum of its proper divisors (78871633029420).

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

32243120413140 is a wasteful number, since it uses less digits than its factorization.

32243120413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905333441 (or 5905333439 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32243120413140 its reverse (4131402134223), we get a palindrome (36374522547363).

The spelling of 32243120413140 in words is "thirty-two trillion, two hundred forty-three billion, one hundred twenty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 5905333409 11810666818 17716000227 23621333636 29526667045 35432000454 41337333863 59053334090 70864000908 76769334317 82674667726 88580001135 118106668180 124012001589 153538668634 165349335452 177160002270 206686669315 230308002951 248024003178 307077337268 354320004540 383846671585 413373338630 460616005902 496048006356 537385340219 620060007945 767693343170 826746677260 921232011804 1074770680438 1151540014755 1240120015890 1535386686340 1612156020657 2149541360876 2303080029510 2480240031780 2686926701095 3224312041314 4606160059020 5373853402190 6448624082628 8060780103285 10747706804380 16121560206570 32243120413140