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7135713440 = 255371279491
BaseRepresentation
bin1101010010101001…
…00101100010100000
3200102022002210121222
412221110211202200
5104103220312230
63140023034212
7341554364162
oct65124454240
920368083558
107135713440
113031a19139
12147189b968
1389947215b
144b99a6932
152bb6c56e5
hex1a95258a0

7135713440 has 96 divisors (see below), whose sum is σ = 17451915264. Its totient is φ = 2754984960.

The previous prime is 7135713439. The next prime is 7135713451. The reversal of 7135713440 is 443175317.

It is a self number, because there is not a number n which added to its sum of digits gives 7135713440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747095 + ... + 756585.

It is an arithmetic number, because the mean of its divisors is an integer number (181790784).

Almost surely, 27135713440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7135713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725957632).

7135713440 is an abundant number, since it is smaller than the sum of its proper divisors (10316201824).

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

7135713440 is a wasteful number, since it uses less digits than its factorization.

7135713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 7135713440 is about 84473.1521845847. The cubic root of 7135713440 is about 1925.2145431314.

Adding to 7135713440 its reverse (443175317), we get a palindrome (7578888757).

The spelling of 7135713440 in words is "seven billion, one hundred thirty-five million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 127 148 160 185 254 296 370 508 592 635 740 1016 1184 1270 1480 2032 2540 2960 4064 4699 5080 5920 9398 9491 10160 18796 18982 20320 23495 37592 37964 46990 47455 75184 75928 93980 94910 150368 151856 187960 189820 303712 351167 375920 379640 702334 751840 759280 1205357 1404668 1518560 1755835 2410714 2809336 3511670 4821428 5618672 6026785 7023340 9642856 11237344 12053570 14046680 19285712 24107140 28093360 38571424 44598209 48214280 56186720 89196418 96428560 178392836 192857120 222991045 356785672 445982090 713571344 891964180 1427142688 1783928360 3567856720 7135713440