Search a number
-
+
740289209088 = 2831113171941509
BaseRepresentation
bin10101100010111001010…
…11001110001100000000
32121202211000202021112010
422301130223032030000
544112103014142323
61324030102532520
7104325025311342
oct12613453161400
92552730667463
10740289209088
11265a55a60810
12bb581437140
1354a6940c730
1427b8a077292
15143cb16ac93
hexac5cace300

740289209088 has 1152 divisors, whose sum is σ = 2647964390400. Its totient is φ = 179778355200.

The previous prime is 740289209081. The next prime is 740289209111. The reversal of 740289209088 is 880902982047.

It is a super-2 number, since 2×7402892090882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (740289209081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1454398978 + ... + 1454399486.

It is an arithmetic number, because the mean of its divisors is an integer number (2298580200).

Almost surely, 2740289209088 is an apocalyptic number.

740289209088 is a gapful number since it is divisible by the number (78) 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 740289209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323982195200).

740289209088 is an abundant number, since it is smaller than the sum of its proper divisors (1907675181312).

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

740289209088 is a wasteful number, since it uses less digits than its factorization.

740289209088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 740289209088 in words is "seven hundred forty billion, two hundred eighty-nine million, two hundred nine thousand, eighty-eight".