Search a number
-
+
145215544040 = 2357518626943
BaseRepresentation
bin1000011100111110000…
…1010101101011101000
3111212211022122222010222
42013033201111223220
54334400134402130
6150413333025212
713330401521030
oct2071741255350
9455738588128
10145215544040
1156649430616
1224188485208
131090328b028
14705819a8c0
153b9da52ce5
hex21cf855ae8

145215544040 has 32 divisors (see below), whose sum is σ = 373411399680. Its totient is φ = 49788186432.

The previous prime is 145215544009. The next prime is 145215544043. The reversal of 145215544040 is 40445512541.

145215544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (145215544043) 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 7 ways as a sum of consecutive naturals, for example, 259313192 + ... + 259313751.

It is an arithmetic number, because the mean of its divisors is an integer number (11669106240).

Almost surely, 2145215544040 is an apocalyptic number.

145215544040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145215544040 is an abundant number, since it is smaller than the sum of its proper divisors (228195855640).

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

145215544040 is a wasteful number, since it uses less digits than its factorization.

145215544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518626961 (or 518626957 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 145215544040 in words is "one hundred forty-five billion, two hundred fifteen million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 518626943 1037253886 2074507772 2593134715 3630388601 4149015544 5186269430 7260777202 10372538860 14521554404 18151943005 20745077720 29043108808 36303886010 72607772020 145215544040