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240290157636 = 223411322412
BaseRepresentation
bin1101111111001001101…
…0001101010001000100
3211222020020022202110000
43133302122031101010
512414103240021021
6302215432001300
723234420432304
oct3376232152104
9758206282400
10240290157636
11929a7590a41
123a6a0830230
1319875534639
14b8b701d604
1563b5673b26
hex37f268d444

240290157636 has 135 divisors (see below), whose sum is σ = 636414802023. Its totient is φ = 79058488320.

The previous prime is 240290157623. The next prime is 240290157641. The reversal of 240290157636 is 636751092042.

The square root of 240290157636 is 490194.

It is a perfect power (a square), and thus also a powerful number.

240290157636 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 9 + 0 + 1 + 5 + 7 + 636 = 666.

240290157636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34406540100 + 205883617536 = 185490^2 + 453744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240290157591 and 240290157600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 997054476 + ... + 997054716.

Almost surely, 2240290157636 is an apocalyptic number.

240290157636 is the 490194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240290157636

240290157636 is an abundant number, since it is smaller than the sum of its proper divisors (396124644387).

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

240290157636 is an equidigital number, since it uses as much as digits as its factorization.

240290157636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 240290157636 in words is "two hundred forty billion, two hundred ninety million, one hundred fifty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 241 324 339 452 482 678 723 964 1017 1356 1446 2034 2169 2892 3051 4068 4338 6102 6507 8676 9153 12204 12769 13014 18306 19521 25538 26028 27233 36612 38307 39042 51076 54466 58081 76614 78084 81699 108932 114921 116162 153228 163398 174243 229842 232324 245097 326796 344763 348486 459684 490194 522729 689526 696972 735291 980388 1034289 1045458 1379052 1470582 1568187 2068578 2090916 2205873 2941164 3077329 3136374 4137156 4411746 4704561 6154658 6272748 6563153 8823492 9231987 9409122 12309316 13126306 18463974 18818244 19689459 26252612 27695961 36927948 39378918 55391922 59068377 78757836 83087883 110783844 118136754 166175766 177205131 236273508 249263649 332351532 354410262 498527298 531615393 708820524 741636289 997054596 1063230786 1483272578 2126461572 2224908867 2966545156 4449817734 6674726601 8899635468 13349453202 20024179803 26698906404 40048359606 60072539409 80096719212 120145078818 240290157636