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1144664010 = 2325721132297
BaseRepresentation
bin100010000111010…
…0010111111001010
32221202212221211100
41010032202333022
54321013222020
6305330042230
740236324600
oct10416427712
92852787740
101144664010
11538151016
1227b419376
131531bb3a9
14ac047870
156a759a90
hex443a2fca

1144664010 has 144 divisors (see below), whose sum is σ = 3494182536. Its totient is φ = 259209216.

The previous prime is 1144663981. The next prime is 1144664021. The reversal of 1144664010 is 104664411.

1144664010 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 640 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 550230849 + 594433161 = 23457^2 + 24381^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 497182 + ... + 499478.

Almost surely, 21144664010 is an apocalyptic number.

1144664010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144664010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747091268).

1144664010 is an abundant number, since it is smaller than the sum of its proper divisors (2349518526).

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

1144664010 is a wasteful number, since it uses less digits than its factorization.

1144664010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1144664010 is about 33832.8835602288. The cubic root of 1144664010 is about 1046.0666169687.

The spelling of 1144664010 in words is "one billion, one hundred forty-four million, six hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 113 126 147 210 226 245 294 315 339 441 490 565 630 678 735 791 882 1017 1130 1470 1582 1695 2034 2205 2297 2373 3390 3955 4410 4594 4746 5085 5537 6891 7119 7910 10170 11074 11485 11865 13782 14238 16079 16611 20673 22970 23730 27685 32158 33222 34455 35595 41346 48237 49833 55370 68910 71190 80395 83055 96474 99666 103365 112553 144711 160790 166110 206730 225106 241185 249165 259561 289422 337659 482370 498330 519122 562765 675318 723555 778683 1012977 1125530 1297805 1447110 1557366 1688295 1816927 2025954 2336049 2595610 3376590 3633854 3893415 4672098 5064885 5450781 7786830 9084635 10129770 10901562 11680245 12718489 16352343 18169270 23360490 25436978 27253905 32704686 38155467 54507810 63592445 76310934 81761715 114466401 127184890 163523430 190777335 228932802 381554670 572332005 1144664010