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10044244332240 = 2435593312143019
BaseRepresentation
bin1001001000101001101110…
…0111011000111011010000
31022120012221122202012121020
42102022123213120323100
52304031103022112430
633210132342355440
72054446511066466
oct222123347307320
938505848665536
1010044244332240
113222816088758
12116278512bb80
1357b225639181
1426a203292836
15126419364b10
hex9229b9d8ed0

10044244332240 has 160 divisors (see below), whose sum is σ = 31760585049600. Its totient is φ = 2625111329280.

The previous prime is 10044244332233. The next prime is 10044244332247. The reversal of 10044244332240 is 4223344244001.

It is an interprime number because it is at equal distance from previous prime (10044244332233) and next prime (10044244332247).

It is a super-3 number, since 3×100442443322403 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044244332247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3615451 + ... + 5758469.

It is an arithmetic number, because the mean of its divisors is an integer number (198503656560).

Almost surely, 210044244332240 is an apocalyptic number.

10044244332240 is a gapful number since it is divisible by the number (10) 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 10044244332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880292524800).

10044244332240 is an abundant number, since it is smaller than the sum of its proper divisors (21716340717360).

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

10044244332240 is a wasteful number, since it uses less digits than its factorization.

10044244332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143425 (or 2143419 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 10044244332240 its reverse (4223344244001), we get a palindrome (14267588576241).

The spelling of 10044244332240 in words is "ten trillion, forty-four billion, two hundred forty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 331 354 472 590 662 708 885 944 993 1180 1324 1416 1655 1770 1986 2360 2648 2832 3310 3540 3972 4720 4965 5296 6620 7080 7944 9930 13240 14160 15888 19529 19860 26480 39058 39720 58587 78116 79440 97645 117174 156232 195290 234348 292935 312464 390580 468696 585870 781160 937392 1171740 1562320 2143019 2343480 4286038 4686960 6429057 8572076 10715095 12858114 17144152 21430190 25716228 32145285 34288304 42860380 51432456 64290570 85720760 102864912 126438121 128581140 171441520 252876242 257162280 379314363 505752484 514324560 632190605 709339289 758628726 1011504968 1264381210 1418678578 1517257452 1896571815 2023009936 2128017867 2528762420 2837357156 3034514904 3546696445 3793143630 4256035734 5057524840 5674714312 6069029808 7093392890 7586287260 8512071468 10115049680 10640089335 11349428624 14186785780 15172574520 17024142936 21280178670 28373571560 30345149040 34048285872 41851018051 42560357340 56747143120 83702036102 85120714680 125553054153 167404072204 170241429360 209255090255 251106108306 334808144408 418510180510 502212216612 627765270765 669616288816 837020361020 1004424433224 1255530541530 1674040722040 2008848866448 2511061083060 3348081444080 5022122166120 10044244332240