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4023244043334 = 2332331821127277
BaseRepresentation
bin111010100010111100000…
…010000011010001000110
3112020121200210110110001000
4322202330002003101012
51011404100433341314
612320130334314130
7563445511055235
oct72427402032106
915217623413030
104023244043334
11131128041643a
1254b894358946
1323250c5c2c29
14dca243d6b1c
156e9c1924209
hex3a8bc083446

4023244043334 has 128 divisors (see below), whose sum is σ = 9642011074560. Its totient is φ = 1239871881600.

The previous prime is 4023244043267. The next prime is 4023244043369. The reversal of 4023244043334 is 4333404423204.

4023244043334 is a `hidden beast` number, since 40 + 2 + 3 + 244 + 0 + 43 + 334 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31546504 + ... + 31673780.

It is an arithmetic number, because the mean of its divisors is an integer number (75328211520).

Almost surely, 24023244043334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023244043334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821005537280).

4023244043334 is an abundant number, since it is smaller than the sum of its proper divisors (5618767031226).

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

4023244043334 is a wasteful number, since it uses less digits than its factorization.

4023244043334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128163 (or 128157 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 4023244043334 its reverse (4333404423204), we get a palindrome (8356648466538).

The spelling of 4023244043334 in words is "four trillion, twenty-three billion, two hundred forty-four million, forty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 821 837 1242 1426 1642 1674 2139 2463 4278 4926 6417 7389 12834 14778 18883 19251 22167 25451 37766 38502 44334 50902 56649 76353 113298 127277 152706 169947 229059 254554 339894 381831 458118 509841 585373 687177 763662 1019682 1145493 1170746 1374354 1756119 2290986 2927371 3436479 3512238 3945587 5268357 5854742 6872958 7891174 8782113 10536714 11836761 15805071 17564226 23673522 26346339 31610142 35510283 52692678 71020566 79039017 90748501 104494417 106530849 158078034 181497002 208988834 213061698 272245503 313483251 544491006 626966502 816736509 940449753 1633473018 1880899506 2403371591 2450209527 2821349259 3239326927 4806743182 4900419054 5642698518 6478653854 7210114773 9717980781 14420229546 19435961562 21630344319 29153942343 43260688638 58307884686 64891032957 74504519321 87461827029 129782065914 149009038642 174923654058 223513557963 447027115926 670540673889 1341081347778 2011622021667 4023244043334