Search a number
-
+
454677140000 = 255473930763
BaseRepresentation
bin1101001110111001101…
…11101001001000100000
31121110121020020212112002
412213130313221020200
524422134321440000
6544513101023132
744564215631306
oct6473467511040
91543536225462
10454677140000
11165911434a06
1274152554aa8
1333b50396a15
1418013b50276
15bc61bbc8d5
hex69dcde9220

454677140000 has 120 divisors (see below), whose sum is σ = 1120124008080. Its totient is φ = 181618848000.

The previous prime is 454677139999. The next prime is 454677140009. The reversal of 454677140000 is 41776454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (454677140009) 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, 14764619 + ... + 14795381.

It is an arithmetic number, because the mean of its divisors is an integer number (9334366734).

Almost surely, 2454677140000 is an apocalyptic number.

454677140000 is a gapful number since it is divisible by the number (40) 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 454677140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560062004040).

454677140000 is an abundant number, since it is smaller than the sum of its proper divisors (665446868080).

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

454677140000 is an equidigital number, since it uses as much as digits as its factorization.

454677140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31532 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 454677140000 in words is "four hundred fifty-four billion, six hundred seventy-seven million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 739 800 1000 1250 1478 2000 2500 2956 3695 4000 5000 5912 7390 10000 11824 14780 18475 20000 23648 29560 30763 36950 59120 61526 73900 92375 118240 123052 147800 153815 184750 246104 295600 307630 369500 461875 492208 591200 615260 739000 769075 923750 984416 1230520 1478000 1538150 1847500 2461040 2956000 3076300 3695000 3845375 4922080 6152600 7390000 7690750 12305200 14780000 15381500 19226875 22733857 24610400 30763000 38453750 45467714 61526000 76907500 90935428 113669285 123052000 153815000 181870856 227338570 307630000 363741712 454677140 568346425 615260000 727483424 909354280 1136692850 1818708560 2273385700 2841732125 3637417120 4546771400 5683464250 9093542800 11366928500 14208660625 18187085600 22733857000 28417321250 45467714000 56834642500 90935428000 113669285000 227338570000 454677140000