Search a number
-
+
1003535440145 = 57279239401541
BaseRepresentation
bin11101001101001110101…
…11111001100100010001
310112221022002222101121122
432212213113321210101
5112420220033041040
62045003503132025
7132334354332500
oct16464727714421
93487262871548
101003535440145
11357662659457
121425a9ba4015
137382c893364
14367ddbcc837
151b186d241b5
hexe9a75f9911

1003535440145 has 96 divisors (see below), whose sum is σ = 1430713497600. Its totient is φ = 673650432000.

The previous prime is 1003535440133. The next prime is 1003535440151. The reversal of 1003535440145 is 5410445353001.

It is not a de Polignac number, because 1003535440145 - 24 = 1003535440129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1854963575 + ... + 1854964115.

It is an arithmetic number, because the mean of its divisors is an integer number (14903265600).

Almost surely, 21003535440145 is an apocalyptic number.

It is an amenable number.

1003535440145 is a deficient number, since it is larger than the sum of its proper divisors (427178057455).

1003535440145 is a wasteful number, since it uses less digits than its factorization.

1003535440145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 1003535440145 in words is "one trillion, three billion, five hundred thirty-five million, four hundred forty thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 79 239 245 395 401 541 553 1195 1673 2005 2705 2765 2807 3787 3871 8365 11711 14035 18881 18935 19355 19649 26509 31679 42739 58555 94405 95839 98245 129299 132167 132545 158395 213695 216941 221753 299173 479195 646495 660835 670873 905093 925169 1084705 1108765 1495865 1518587 1552271 2094211 3354365 4525465 4625845 4696111 6335651 7571281 7592935 7761355 10214621 10471055 10630109 17138339 23480555 31678255 37856405 51073105 51848899 52998967 53150545 71502347 85691695 119968373 259244495 264994835 357511735 362942293 370992769 500516429 599841865 839778611 1814711465 1854963845 2502582145 2540596051 4096063021 4198893055 12702980255 20480315105 28672441147 143362205735 200707088029 1003535440145