Search a number
-
+
1003740333444 = 2232294993192557
BaseRepresentation
bin11101001101100111001…
…01100000010110000100
310112221211101112001101100
432212303211200112010
5112421130011132234
62045040102500100
7132342423030162
oct16466345402604
93487741461340
101003740333444
11357758283862
12142646734630
13738631719b4
143681d0c6232
151b199ce8399
hexe9b3960584

1003740333444 has 72 divisors (see below), whose sum is σ = 2625262599960. Its totient is φ = 322976489472.

The previous prime is 1003740333397. The next prime is 1003740333487. The reversal of 1003740333444 is 4443330473001.

It can be written as a sum of positive squares in 4 ways, for example, as 4780063044 + 998960270400 = 69138^2 + 999480^2 .

It is a super-2 number, since 2×10037403334442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1003740333399 and 1003740333408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5116414 + ... + 5308970.

It is an arithmetic number, because the mean of its divisors is an integer number (36461980555).

Almost surely, 21003740333444 is an apocalyptic number.

It is an amenable number.

1003740333444 is an abundant number, since it is smaller than the sum of its proper divisors (1621522266516).

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

1003740333444 is a wasteful number, since it uses less digits than its factorization.

1003740333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197589 (or 197584 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 1003740333444 in words is "one trillion, three billion, seven hundred forty million, three hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 4993 9986 14979 19972 29958 44937 59916 89874 144797 179748 192557 289594 385114 434391 577671 579188 770228 868782 1155342 1303173 1733013 1737564 2310684 2606346 3466026 5212692 5584153 6932052 11168306 16752459 22336612 33504918 50257377 67009836 100514754 201029508 961437101 1922874202 2884311303 3845748404 5768622606 8652933909 11537245212 17305867818 27881675929 34611735636 55763351858 83645027787 111526703716 167290055574 250935083361 334580111148 501870166722 1003740333444