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233040120000 = 263541942001
BaseRepresentation
bin1101100100001001000…
…1100000100011000000
3211021111222002200111120
43121002101200203000
512304231232320000
6255020202312240
722556644223322
oct3310221404300
9737458080446
10233040120000
118a9170883a6
12391b87b8680
1318c8b4a4b3c
14b3ca1b7612
1560dde196a0
hex36424608c0

233040120000 has 140 divisors (see below), whose sum is σ = 770485409496. Its totient is φ = 62144000000.

The previous prime is 233040119993. The next prime is 233040120007. The reversal of 233040120000 is 21040332.

It is an interprime number because it is at equal distance from previous prime (233040119993) and next prime (233040120007).

It is a super-2 number, since 2×2330401200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (233040120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 851001 + ... + 1091000.

Almost surely, 2233040120000 is an apocalyptic number.

233040120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233040120000 is an abundant number, since it is smaller than the sum of its proper divisors (537445289496).

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

233040120000 is an equidigital number, since it uses as much as digits as its factorization.

233040120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942036 (or 1942011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 233040120000 its reverse (21040332), we get a palindrome (233061160332).

The spelling of 233040120000 in words is "two hundred thirty-three billion, forty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 1942001 3884002 5826003 7768004 9710005 11652006 15536008 19420010 23304012 29130015 31072016 38840020 46608024 48550025 58260030 62144032 77680040 93216048 97100050 116520060 124288064 145650075 155360080 186432096 194200100 233040120 242750125 291300150 310720160 372864192 388400200 466080240 485500250 582600300 621440320 728250375 776800400 932160480 971000500 1165200600 1213750625 1456500750 1553600800 1864320960 1942001000 2330401200 2427501250 2913001500 3107201600 3641251875 3884002000 4660802400 4855002500 5826003000 7282503750 7768004000 9321604800 9710005000 11652006000 14565007500 15536008000 19420010000 23304012000 29130015000 38840020000 46608024000 58260030000 77680040000 116520060000 233040120000