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1001434411038 = 236126910171597
BaseRepresentation
bin11101001001010100010…
…01000111000000011110
310112201212200112001111210
432210222021013000132
5112401414202123123
62044015210525250
7132231323021265
oct16445211070036
93481780461453
101001434411038
11356784688166
12142102436826
1373586504c79
1436680b555dc
151b0b2656e93
hexe92a24701e

1001434411038 has 32 divisors (see below), whose sum is σ = 2043270606240. Its totient is φ = 327118527360.

The previous prime is 1001434411037. The next prime is 1001434411051. The reversal of 1001434411038 is 8301144341001.

It is a super-2 number, since 2×10014344110382 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001434410996 and 1001434411014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001434411037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987345 + ... + 5184252.

It is an arithmetic number, because the mean of its divisors is an integer number (63852206445).

Almost surely, 21001434411038 is an apocalyptic number.

1001434411038 is an abundant number, since it is smaller than the sum of its proper divisors (1041836195202).

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

1001434411038 is a wasteful number, since it uses less digits than its factorization.

1001434411038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171932.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 1001434411038 its reverse (8301144341001), we get a palindrome (9302578752039).

The spelling of 1001434411038 in words is "one trillion, one billion, four hundred thirty-four million, four hundred eleven thousand, thirty-eight".

Divisors: 1 2 3 6 61 122 183 269 366 538 807 1614 16409 32818 49227 98454 10171597 20343194 30514791 61029582 620467417 1240934834 1861402251 2736159593 3722804502 5472319186 8208478779 16416957558 166905735173 333811470346 500717205519 1001434411038