Search a number
-
+
141038385114840 = 23355872002248511
BaseRepresentation
bin100000000100011000001110…
…110110000010111011011000
3200111101010201120000211121020
4200010120032312002323120
5121441233103042133330
61215544050055442440
741464454443111653
oct4004301666027330
9614333646024536
10141038385114840
1140a37052597044
121399a225986420
136090b2a313735
1426b841965489a
151148aeaa9a210
hex80460ed82ed8

141038385114840 has 64 divisors (see below), whose sum is σ = 423835965020160. Its totient is φ = 37546164059520.

The previous prime is 141038385114799. The next prime is 141038385114841. The reversal of 141038385114840 is 48411583830141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141038385114841) 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 15 ways as a sum of consecutive naturals, for example, 1001053816 + ... + 1001194695.

It is an arithmetic number, because the mean of its divisors is an integer number (6622436953440).

Almost surely, 2141038385114840 is an apocalyptic number.

141038385114840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141038385114840 is an abundant number, since it is smaller than the sum of its proper divisors (282797579905320).

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

141038385114840 is a wasteful number, since it uses less digits than its factorization.

141038385114840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002249112 (or 2002249108 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 141038385114840 in words is "one hundred forty-one trillion, thirty-eight billion, three hundred eighty-five million, one hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 11740 14088 17610 23480 35220 70440 2002248511 4004497022 6006745533 8008994044 10011242555 12013491066 16017988088 20022485110 24026982132 30033727665 40044970220 48053964264 60067455330 80089940440 120134910660 240269821320 1175319875957 2350639751914 3525959627871 4701279503828 5876599379785 7051919255742 9402559007656 11753198759570 14103838511484 17629798139355 23506397519140 28207677022968 35259596278710 47012795038280 70519192557420 141038385114840