Search a number
-
+
7150016240 = 24541101113191
BaseRepresentation
bin1101010100010110…
…01001011011110000
3200110022000110101022
412222023021123300
5104120401004430
63141253355012
7342120064253
oct65213113360
920408013338
107150016240
113039aa8034
121476638a68
1389c40c353
144bb84b09a
152bca9d4e5
hex1aa2c96f0

7150016240 has 160 divisors (see below), whose sum is σ = 17440883712. Its totient is φ = 2723840000.

The previous prime is 7150016239. The next prime is 7150016249. The reversal of 7150016240 is 426100517.

It is a super-2 number, since 2×71500162402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7150016249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37434545 + ... + 37434735.

Almost surely, 27150016240 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 7150016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720441856).

7150016240 is an abundant number, since it is smaller than the sum of its proper divisors (10290867472).

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

7150016240 is a wasteful number, since it uses less digits than its factorization.

7150016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 7150016240 is about 84557.7686555174. The cubic root of 7150016240 is about 1926.4999825201.

Adding to 7150016240 its reverse (426100517), we get a palindrome (7576116757).

The spelling of 7150016240 in words is "seven billion, one hundred fifty million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 101 113 164 191 202 205 226 328 382 404 410 452 505 565 656 764 808 820 904 955 1010 1130 1528 1616 1640 1808 1910 2020 2260 3056 3280 3820 4040 4141 4520 4633 7640 7831 8080 8282 9040 9266 11413 15280 15662 16564 18532 19291 20705 21583 22826 23165 31324 33128 37064 38582 39155 41410 43166 45652 46330 57065 62648 66256 74128 77164 78310 82820 86332 91304 92660 96455 107915 114130 125296 154328 156620 165640 172664 182608 185320 192910 215830 228260 308656 313240 331280 345328 370640 385820 431660 456520 467933 626480 771640 790931 863320 884903 913040 935866 1543280 1581862 1726640 1769806 1871732 2179883 2339665 3163724 3539612 3743464 3954655 4359766 4424515 4679330 6327448 7079224 7486928 7909310 8719532 8849030 9358660 10899415 12654896 14158448 15818620 17439064 17698060 18717320 21798830 31637240 34878128 35396120 37434640 43597660 63274480 70792240 87195320 89375203 174390640 178750406 357500812 446876015 715001624 893752030 1430003248 1787504060 3575008120 7150016240