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263875000140 = 2232519328127031
BaseRepresentation
bin1111010111000000101…
…1001111011101001100
3221020002220100220010100
43311300023033131030
513310404000001030
6321120021011100
725031032331133
oct3656013173514
9836086326110
10263875000140
11a19aa616214
1243183253a90
131bb6381314b
14cab346a91a
156ce5eaa360
hex3d702cf74c

263875000140 has 144 divisors (see below), whose sum is σ = 807461194176. Its totient is φ = 69750374400.

The previous prime is 263875000121. The next prime is 263875000159. The reversal of 263875000140 is 41000578362.

263875000140 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 7 + 500 + 0 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (263875000121) and next prime (263875000159).

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 = 263875000095 and 263875000104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9748425 + ... + 9775455.

It is an arithmetic number, because the mean of its divisors is an integer number (5607369404).

Almost surely, 2263875000140 is an apocalyptic number.

263875000140 is a gapful number since it is divisible by the number (20) 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 263875000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403730597088).

263875000140 is an abundant number, since it is smaller than the sum of its proper divisors (543586194036).

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

263875000140 is a wasteful number, since it uses less digits than its factorization.

263875000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27520 (or 27515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 263875000140 in words is "two hundred sixty-three billion, eight hundred seventy-five million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 281 386 562 579 772 843 965 1124 1158 1405 1686 1737 1930 2316 2529 2810 2895 3372 3474 3860 4215 5058 5620 5790 6948 8430 8685 10116 11580 12645 16860 17370 25290 27031 34740 50580 54062 54233 81093 108124 108466 135155 162186 162699 216932 243279 270310 271165 324372 325398 405465 486558 488097 540620 542330 650796 810930 813495 973116 976194 1084660 1216395 1621860 1626990 1952388 2432790 2440485 3253980 4865580 4880970 5216983 7595711 9761940 10433966 15191422 15650949 20867932 22787133 26084915 30382844 31301898 37978555 45574266 46952847 52169830 62603796 68361399 75957110 78254745 91148532 93905694 104339660 113935665 136722798 151914220 156509490 187811388 227871330 234764235 273445596 313018980 341806995 455742660 469528470 683613990 939056940 1367227980 1465972223 2931944446 4397916669 5863888892 7329861115 8795833338 13193750007 14659722230 17591666676 21989583345 26387500014 29319444460 43979166690 52775000028 65968750035 87958333380 131937500070 263875000140