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7137714000 = 243535632113
BaseRepresentation
bin1101010010111000…
…01101111101010000
3200102102212102212210
412221130031331100
5104104223322000
63140133552120
7341610365544
oct65134157520
920372772783
107137714000
11303306519a
1214724a5640
138999c2911
144b9d67a24
152bb96d350
hex1a970df50

7137714000 has 160 divisors (see below), whose sum is σ = 23063773824. Its totient is φ = 1899110400.

The previous prime is 7137713987. The next prime is 7137714019. The reversal of 7137714000 is 4177317.

It is a super-2 number, since 2×71377140002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3376944 + ... + 3379056.

Almost surely, 27137714000 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 7137714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531886912).

7137714000 is an abundant number, since it is smaller than the sum of its proper divisors (15926059824).

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

7137714000 is a wasteful number, since it uses less digits than its factorization.

7137714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 7137714000 is about 84484.9927501920. The cubic root of 7137714000 is about 1925.3944432615.

The spelling of 7137714000 in words is "seven billion, one hundred thirty-seven million, seven hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 563 600 750 1000 1126 1200 1500 1689 2000 2113 2252 2815 3000 3378 4226 4504 5630 6000 6339 6756 8445 8452 9008 10565 11260 12678 13512 14075 16890 16904 21130 22520 25356 27024 28150 31695 33780 33808 42225 42260 45040 50712 52825 56300 63390 67560 70375 84450 84520 101424 105650 112600 126780 135120 140750 158475 168900 169040 211125 211300 225200 253560 264125 281500 316950 337800 422250 422600 507120 528250 563000 633900 675600 792375 844500 845200 1056500 1126000 1189619 1267800 1584750 1689000 2113000 2379238 2535600 3169500 3378000 3568857 4226000 4758476 5948095 6339000 7137714 9516952 11896190 12678000 14275428 17844285 19033904 23792380 28550856 29740475 35688570 47584760 57101712 59480950 71377140 89221425 95169520 118961900 142754280 148702375 178442850 237923800 285508560 297404750 356885700 446107125 475847600 594809500 713771400 892214250 1189619000 1427542800 1784428500 2379238000 3568857000 7137714000