Search a number
-
+
140466180000 = 253542341103
BaseRepresentation
bin1000001011010001101…
…1111100111110100000
3111102120022220021111010
42002310123330332200
54300133320230000
6144310153420520
713101611554446
oct2026433747640
9442508807433
10140466180000
1154631551073
1223281a0a740
1310327335453
146b274dcb96
1539c1b08d50
hex20b46fcfa0

140466180000 has 120 divisors (see below), whose sum is σ = 460757360448. Its totient is φ = 37457632000.

The previous prime is 140466179993. The next prime is 140466180011. The reversal of 140466180000 is 81664041.

140466180000 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 140466180000.

It is an unprimeable number.

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, 1110552 + ... + 1230551.

Almost surely, 2140466180000 is an apocalyptic number.

140466180000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140466180000 is an abundant number, since it is smaller than the sum of its proper divisors (320291180448).

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

140466180000 is an equidigital number, since it uses as much as digits as its factorization.

140466180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341136 (or 2341113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 140466180000 in words is "one hundred forty billion, four hundred sixty-six million, one hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 2341103 4682206 7023309 9364412 11705515 14046618 18728824 23411030 28093236 35116545 37457648 46822060 56186472 58527575 70233090 74915296 93644120 112372944 117055150 140466180 175582725 187288240 224745888 234110300 280932360 292637875 351165450 374576480 468220600 561864720 585275750 702330900 877913625 936441200 1123729440 1170551500 1404661800 1463189375 1755827250 1872882400 2341103000 2809323600 2926378750 3511654500 4389568125 4682206000 5618647200 5852757500 7023309000 8779136250 9364412000 11705515000 14046618000 17558272500 23411030000 28093236000 35116545000 46822060000 70233090000 140466180000