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1005302444445 = 325134341539623
BaseRepresentation
bin11101010000100001011…
…00011111000110011101
310120002212020220111211100
432220100230133012131
5112432324411210240
62045455104143313
7132426221533515
oct16502054370635
93502766814740
101005302444445
1135838a026992
12142a01907b39
1373a5199ca30
143692a756845
151b23c010e30
hexea10b1f19d

1005302444445 has 96 divisors (see below), whose sum is σ = 1920867556608. Its totient is φ = 483241780224.

The previous prime is 1005302444437. The next prime is 1005302444473. The reversal of 1005302444445 is 5444442035001.

1005302444445 is a `hidden beast` number, since 1 + 0 + 0 + 530 + 2 + 44 + 44 + 45 = 666.

1005302444445 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005302444445 - 23 = 1005302444437 is a prime.

It is a super-2 number, since 2×10053024444452 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104463904 + ... + 104473526.

It is an arithmetic number, because the mean of its divisors is an integer number (20009037048).

Almost surely, 21005302444445 is an apocalyptic number.

1005302444445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005302444445 is a deficient number, since it is larger than the sum of its proper divisors (915565112163).

1005302444445 is a wasteful number, since it uses less digits than its factorization.

1005302444445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13843 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 1005302444445 its reverse (5444442035001), we get a palindrome (6449744479446).

The spelling of 1005302444445 in words is "one trillion, five billion, three hundred two million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 43 45 65 117 129 195 215 387 559 585 645 1677 1935 2795 4153 5031 8385 9623 12459 20765 25155 28869 37377 48115 53989 62295 86607 125099 144345 161967 178579 186885 269945 375297 413789 433035 485901 535737 625495 809835 892895 1125891 1241367 1607211 1876485 2068945 2321527 2429505 2678685 3724101 5379257 5629455 6206835 6964581 8036055 11607635 16137771 18620505 20893743 26896285 34822905 39964319 48413313 80688855 104468715 119892957 199821595 242066565 359678871 519536147 599464785 1558608441 1718465717 1798394355 2597680735 4675825323 5155397151 7793042205 8592328585 15466191453 22340054321 23379126615 25776985755 67020162963 77330957265 111700271605 201060488889 335100814815 1005302444445