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326305534140 = 22325131137101009
BaseRepresentation
bin1001011111110010101…
…00110101000010111100
31011012020210102121201100
410233321110311002330
520321233204043030
6405522552013100
732401104163605
oct4577124650274
91135223377640
10326305534140
11116426a70463
12532a7091190
1324a0298a021
1411b16a4adac
15874bcb6360
hex4bf95350bc

326305534140 has 144 divisors (see below), whose sum is σ = 1004638995360. Its totient is φ = 85719429120.

The previous prime is 326305534127. The next prime is 326305534147. The reversal of 326305534140 is 41435503623.

326305534140 is a `hidden beast` number, since 3 + 2 + 6 + 305 + 5 + 341 + 4 + 0 = 666.

It is a super-2 number, since 2×3263055341402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 326305534095 and 326305534104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326305534147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3179956 + ... + 3280964.

It is an arithmetic number, because the mean of its divisors is an integer number (6976659690).

Almost surely, 2326305534140 is an apocalyptic number.

326305534140 is a gapful number since it is divisible by the number (30) 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 326305534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502319497680).

326305534140 is an abundant number, since it is smaller than the sum of its proper divisors (678333461220).

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

326305534140 is a wasteful number, since it uses less digits than its factorization.

326305534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101292 (or 101287 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 326305534140 in words is "three hundred twenty-six billion, three hundred five million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 137 180 262 274 393 411 524 548 655 685 786 822 1179 1233 1310 1370 1572 1644 1965 2055 2358 2466 2620 2740 3930 4110 4716 4932 5895 6165 7860 8220 11790 12330 17947 23580 24660 35894 53841 71788 89735 101009 107682 161523 179470 202018 215364 269205 303027 323046 358940 404036 505045 538410 606054 646092 807615 909081 1010090 1076820 1212108 1515135 1615230 1818162 2020180 3030270 3230460 3636324 4545405 6060540 9090810 13232179 13838233 18181620 26464358 27676466 39696537 41514699 52928716 55352932 66160895 69191165 79393074 83029398 119089611 124544097 132321790 138382330 158786148 166058796 198482685 207573495 238179222 249088194 264643580 276764660 396965370 415146990 476358444 498176388 595448055 622720485 793930740 830293980 1190896110 1245440970 1812808523 2381792220 2490881940 3625617046 5438425569 7251234092 9064042615 10876851138 16315276707 18128085230 21753702276 27192127845 32630553414 36256170460 54384255690 65261106828 81576383535 108768511380 163152767070 326305534140