Search a number
-
+
1044025310000 = 2454701314887
BaseRepresentation
bin11110011000101001100…
…00011111101100110000
310200210210220210220020002
433030110300133230300
5114101130434410000
62115341341405132
7135266630466341
oct17142460375460
93623726726202
101044025310000
11372850084a12
1214a409b697a8
13775b3291b2a
14387614760c8
151c2568228d5
hexf314c1fb30

1044025310000 has 100 divisors (see below), whose sum is σ = 2528219923152. Its totient is φ = 417522528000.

The previous prime is 1044025309939. The next prime is 1044025310033. The reversal of 1044025310000 is 135204401.

1044025310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10440253100002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70122557 + ... + 70137443.

Almost surely, 21044025310000 is an apocalyptic number.

1044025310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044025310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264109961576).

1044025310000 is an abundant number, since it is smaller than the sum of its proper divisors (1484194613152).

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

1044025310000 is an equidigital number, since it uses as much as digits as its factorization.

1044025310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21928 (or 21907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 1044025310000 in words is "one trillion, forty-four billion, twenty-five million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 7013 10000 14026 14887 28052 29774 35065 56104 59548 70130 74435 112208 119096 140260 148870 175325 238192 280520 297740 350650 372175 561040 595480 701300 744350 876625 1190960 1402600 1488700 1753250 1860875 2805200 2977400 3506500 3721750 4383125 5954800 7013000 7443500 8766250 9304375 14026000 14887000 17532500 18608750 29774000 35065000 37217500 70130000 74435000 104402531 148870000 208805062 417610124 522012655 835220248 1044025310 1670440496 2088050620 2610063275 4176101240 5220126550 8352202480 10440253100 13050316375 20880506200 26100632750 41761012400 52201265500 65251581875 104402531000 130503163750 208805062000 261006327500 522012655000 1044025310000