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1014244304320 = 265131731409299
BaseRepresentation
bin11101100001001011010…
…10111110010111000000
310120221221102121001120201
432300211222332113000
5113104133020214240
62053534251214544
7133163630225032
oct16604552762700
93527842531521
101014244304320
11361158517625
12144698447454
13748483a4790
1437138155c52
151b5b2055d9a
hexec25abe5c0

1014244304320 has 112 divisors (see below), whose sum is σ = 2615987757600. Its totient is φ = 372325257216.

The previous prime is 1014244304317. The next prime is 1014244304329. The reversal of 1014244304320 is 234034424101.

1014244304320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014244304329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15031 + ... + 1424329.

It is an arithmetic number, because the mean of its divisors is an integer number (23357033550).

Almost surely, 21014244304320 is an apocalyptic number.

1014244304320 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 1014244304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307993878800).

1014244304320 is an abundant number, since it is smaller than the sum of its proper divisors (1601743453280).

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

1014244304320 is a wasteful number, since it uses less digits than its factorization.

1014244304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409502 (or 1409492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1014244304320 its reverse (234034424101), we get a palindrome (1248278728421).

The spelling of 1014244304320 in words is "one trillion, fourteen billion, two hundred forty-four million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 173 208 260 320 346 416 520 692 832 865 1040 1384 1730 2080 2249 2768 3460 4160 4498 5536 6920 8996 11072 11245 13840 17992 22490 27680 35984 44980 55360 71968 89960 143936 179920 359840 719680 1409299 2818598 5637196 7046495 11274392 14092990 18320887 22548784 28185980 36641774 45097568 56371960 73283548 90195136 91604435 112743920 146567096 183208870 225487840 243808727 293134192 366417740 450975680 487617454 586268384 732835480 975234908 1172536768 1219043635 1465670960 1950469816 2438087270 2931341920 3169513451 3900939632 4876174540 5862683840 6339026902 7801879264 9752349080 12678053804 15603758528 15847567255 19504698160 25356107608 31695134510 39009396320 50712215216 63390269020 78018792640 101424430432 126780538040 202848860864 253561076080 507122152160 1014244304320