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10231243440 = 24351110138371
BaseRepresentation
bin10011000011101010…
…00110001010110000
3222102000220000111020
421201311012022300
5131423144242230
64411123015440
7511353064035
oct114165061260
928360800436
1010231243440
1143802a76a0
121b9650a580
13c70893702
146d0b5938c
153ed339810
hex261d462b0

10231243440 has 160 divisors (see below), whose sum is σ = 34943692032. Its totient is φ = 2455680000.

The previous prime is 10231243427. The next prime is 10231243453. The reversal of 10231243440 is 4434213201.

It is an interprime number because it is at equal distance from previous prime (10231243427) and next prime (10231243453).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10231243440.

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, 247455 + ... + 285825.

Almost surely, 210231243440 is an apocalyptic number.

10231243440 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 10231243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471846016).

10231243440 is an abundant number, since it is smaller than the sum of its proper divisors (24712448592).

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

10231243440 is a wasteful number, since it uses less digits than its factorization.

10231243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38499 (or 38493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10231243440 its reverse (4434213201), we get a palindrome (14665456641).

The spelling of 10231243440 in words is "ten billion, two hundred thirty-one million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 38371 44440 53328 66660 76742 88880 115113 133320 153484 191855 230226 266640 306968 383710 422081 460452 575565 613936 767420 844162 920904 1151130 1266243 1534840 1688324 1841808 2110405 2302260 2532486 3069680 3376648 3875471 4220810 4604520 5064972 6331215 6753296 7750942 8441620 9209040 10129944 11626413 12662430 15501884 16883240 19377355 20259888 23252826 25324860 31003768 33766480 38754710 42630181 46505652 50649720 58132065 62007536 77509420 85260362 93011304 101299440 116264130 127890543 155018840 170520724 186022608 213150905 232528260 255781086 310037680 341041448 426301810 465056520 511562172 639452715 682082896 852603620 930113040 1023124344 1278905430 1705207240 2046248688 2557810860 3410414480 5115621720 10231243440