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7152440000 = 26541631097
BaseRepresentation
bin1101010100101000…
…11001001011000000
3200110110120121011012
412222110121023000
5104122011040000
63141421340052
7342146510516
oct65224311300
920413517135
107152440000
113040403042
121477407628
1389ca7a624
144bbcbc4b6
152bcdcb735
hex1aa5192c0

7152440000 has 140 divisors (see below), whose sum is σ = 17860801464. Its totient is φ = 2840832000.

The previous prime is 7152439999. The next prime is 7152440011. The reversal of 7152440000 is 442517.

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 19 ways as a sum of consecutive naturals, for example, 6519452 + ... + 6520548.

Almost surely, 27152440000 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 7152440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930400732).

7152440000 is an abundant number, since it is smaller than the sum of its proper divisors (10708361464).

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

7152440000 is a wasteful number, since it uses less digits than its factorization.

7152440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 7152440000 is about 84572.0994181887. The cubic root of 7152440000 is about 1926.7176438475.

Adding to 7152440000 its reverse (442517), we get a palindrome (7152882517).

The spelling of 7152440000 in words is "seven billion, one hundred fifty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 163 200 250 320 326 400 500 625 652 800 815 1000 1097 1250 1304 1600 1630 2000 2194 2500 2608 3260 4000 4075 4388 5000 5216 5485 6520 8000 8150 8776 10000 10432 10970 13040 16300 17552 20000 20375 21940 26080 27425 32600 35104 40000 40750 43880 52160 54850 65200 70208 81500 87760 101875 109700 130400 137125 163000 175520 178811 203750 219400 260800 274250 326000 351040 357622 407500 438800 548500 652000 685625 715244 815000 877600 894055 1097000 1304000 1371250 1430488 1630000 1755200 1788110 2194000 2742500 2860976 3260000 3576220 4388000 4470275 5485000 5721952 6520000 7152440 8776000 8940550 10970000 11443904 14304880 17881100 21940000 22351375 28609760 35762200 43880000 44702750 57219520 71524400 89405500 111756875 143048800 178811000 223513750 286097600 357622000 447027500 715244000 894055000 1430488000 1788110000 3576220000 7152440000