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240232040004144 = 243172315781529219
BaseRepresentation
bin110110100111110101100001…
…011010000111101000110000
31011111120221212220202121100110
4312213311201122013220300
5222441430204220113034
62210533024200221320
7101413122621022206
oct6647654132075060
91144527786677313
10240232040004144
116a5aa921822991
1222b3a6b416a840
13a407a26a80636
144347415539076
151cb8ebeebede9
hexda7d61687a30

240232040004144 has 160 divisors (see below), whose sum is σ = 690042446599680. Its totient is φ = 71630918701056.

The previous prime is 240232040004137. The next prime is 240232040004169. The reversal of 240232040004144 is 441400040232042.

240232040004144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2402320400041442 (a number of 30 digits) contains 22 as substring.

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, 37818034 + ... + 43711185.

It is an arithmetic number, because the mean of its divisors is an integer number (4312765291248).

Almost surely, 2240232040004144 is an apocalyptic number.

240232040004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240232040004144 is an abundant number, since it is smaller than the sum of its proper divisors (449810406595536).

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

240232040004144 is a wasteful number, since it uses less digits than its factorization.

240232040004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81529427 (or 81529421 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 240232040004144 its reverse (441400040232042), we get a palindrome (681632080236186).

The spelling of 240232040004144 in words is "two hundred forty trillion, two hundred thirty-two billion, forty million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 157 184 204 272 276 314 368 391 408 471 552 628 782 816 942 1104 1173 1256 1564 1884 2346 2512 2669 3128 3611 3768 4692 5338 6256 7222 7536 8007 9384 10676 10833 14444 16014 18768 21352 21666 28888 32028 42704 43332 57776 61387 64056 86664 122774 128112 173328 184161 245548 368322 491096 736644 982192 1473288 2946576 81529219 163058438 244587657 326116876 489175314 652233752 978350628 1304467504 1385996723 1875172037 1956701256 2771993446 3750344074 3913402512 4157990169 5543986892 5625516111 7500688148 8315980338 11087973784 11251032222 12800087383 15001376296 16631960676 22175947568 22502064444 25600174766 30002752592 31877924629 33263921352 38400262149 45004128888 51200349532 63755849258 66527842704 76800524298 90008257776 95633773887 102400699064 127511698516 153601048596 191267547774 204801398128 217601485511 255023397032 294402009809 307202097192 382535095548 435202971022 510046794064 588804019618 614404194384 652804456533 765070191096 870405942044 883206029427 1177608039236 1305608913066 1530140382192 1740811884088 1766412058854 2355216078472 2611217826132 3481623768176 3532824117708 4710432156944 5004834166753 5222435652264 7065648235416 10009668333506 10444871304528 14131296470832 15014502500259 20019336667012 30029005000518 40038673334024 60058010001036 80077346668048 120116020002072 240232040004144