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1000411242320 = 24571994023613
BaseRepresentation
bin11101000111011010010…
…10000001111101010000
310112122020101020200220002
432203231022001331100
5112342320234223240
62043325500505132
7132164060153150
oct16435512017520
93478211220802
101000411242320
113562aa07a386
12141a7784b1a8
13734525452a9
14365c4cd6760
151b0528ead15
hexe8ed281f50

1000411242320 has 80 divisors (see below), whose sum is σ = 2798142752640. Its totient is φ = 324945603072.

The previous prime is 1000411242319. The next prime is 1000411242331. The reversal of 1000411242320 is 232421140001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000411242292 and 1000411242301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47001167 + ... + 47022446.

It is an arithmetic number, because the mean of its divisors is an integer number (34976784408).

Almost surely, 21000411242320 is an apocalyptic number.

1000411242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000411242320 is an abundant number, since it is smaller than the sum of its proper divisors (1797731510320).

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

1000411242320 is a wasteful number, since it uses less digits than its factorization.

1000411242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94023652 (or 94023646 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1000411242320 its reverse (232421140001), we get a palindrome (1232832382321).

The spelling of 1000411242320 in words is "one trillion, four hundred eleven million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 94023613 188047226 376094452 470118065 658165291 752188904 940236130 1316330582 1504377808 1786448647 1880472260 2632661164 3290826455 3572897294 3760944520 5265322328 6581652910 7145794588 7521889040 8932243235 10530644656 12505140529 13163305820 14291589176 17864486470 25010281058 26326611640 28583178352 35728972940 50020562116 52653223280 62525702645 71457945880 100041124232 125051405290 142915891760 200082248464 250102810580 500205621160 1000411242320