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13142455000 = 23547137021
BaseRepresentation
bin11000011110101100…
…11111001011011000
31020220220211212222121
430033112133023120
5203403432030000
610012040231024
7643453011223
oct141726371330
936826755877
1013142455000
115634633a64
12266946b474
131315a5b5bc
148c964c5ba
1551dbe0b1a
hex30f59f2d8

13142455000 has 80 divisors (see below), whose sum is σ = 31227316560. Its totient is φ = 5182800000.

The previous prime is 13142454989. The next prime is 13142455009. The reversal of 13142455000 is 55424131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142455009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 336490 + ... + 373510.

It is an arithmetic number, because the mean of its divisors is an integer number (390341457).

Almost surely, 213142455000 is an apocalyptic number.

13142455000 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 13142455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613658280).

13142455000 is an abundant number, since it is smaller than the sum of its proper divisors (18084861560).

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

13142455000 is an equidigital number, since it uses as much as digits as its factorization.

13142455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37118 (or 37099 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 13142455000 its reverse (55424131), we get a palindrome (13197879131).

The spelling of 13142455000 in words is "thirteen billion, one hundred forty-two million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 625 710 1000 1250 1420 1775 2500 2840 3550 5000 7100 8875 14200 17750 35500 37021 44375 71000 74042 88750 148084 177500 185105 296168 355000 370210 740420 925525 1480840 1851050 2628491 3702100 4627625 5256982 7404200 9255250 10513964 13142455 18510500 21027928 23138125 26284910 37021000 46276250 52569820 65712275 92552500 105139640 131424550 185105000 262849100 328561375 525698200 657122750 1314245500 1642806875 2628491000 3285613750 6571227500 13142455000