Search a number
-
+
1004144403400 = 235243111649007
BaseRepresentation
bin11101001110010111010…
…10111010001111001000
310112222212112211221011021
432213023222322033020
5112422441431402100
62045144135242224
7132355430412535
oct16471352721710
93488775757137
101004144403400
11357945379576
12142739b19374
13738c8aa9948
143685aa29d8c
151b1c0512a1a
hexe9cbaba3c8

1004144403400 has 48 divisors (see below), whose sum is σ = 2340052727040. Its totient is φ = 400725806400.

The previous prime is 1004144403377. The next prime is 1004144403401. The reversal of 1004144403400 is 43044414001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1004144403401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5738304 + ... + 5910703.

It is an arithmetic number, because the mean of its divisors is an integer number (48751098480).

Almost surely, 21004144403400 is an apocalyptic number.

1004144403400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004144403400 is an abundant number, since it is smaller than the sum of its proper divisors (1335908323640).

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

1004144403400 is a wasteful number, since it uses less digits than its factorization.

1004144403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649454 (or 11649445 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1004144403400 its reverse (43044414001), we get a palindrome (1047188817401).

The spelling of 1004144403400 in words is "one trillion, four billion, one hundred forty-four million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 11649007 23298014 46596028 58245035 93192056 116490070 232980140 291225175 465960280 582450350 1164900700 2329801400 5020722017 10041444034 20082888068 25103610085 40165776136 50207220170 100414440340 125518050425 200828880680 251036100850 502072201700 1004144403400