Search a number
-
+
7025141088 = 2532722915217
BaseRepresentation
bin1101000101011101…
…10010010101100000
3200010121001010212200
412202232302111200
5103341414003323
63121033053200
7336042466620
oct64256622540
920117033780
107025141088
112a85566529
121440857200
1387c599424
144a9022880
152b1b33443
hex1a2bb2560

7025141088 has 144 divisors (see below), whose sum is σ = 22932917280. Its totient is φ = 1998286848.

The previous prime is 7025141051. The next prime is 7025141099. The reversal of 7025141088 is 8801415207.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454056 + ... + 469272.

It is an arithmetic number, because the mean of its divisors is an integer number (159256370).

Almost surely, 27025141088 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 7025141088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466458640).

7025141088 is an abundant number, since it is smaller than the sum of its proper divisors (15907776192).

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

7025141088 is a wasteful number, since it uses less digits than its factorization.

7025141088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15469 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7025141088 is about 83816.1147274198. The cubic root of 7025141088 is about 1915.2185974832.

The spelling of 7025141088 in words is "seven billion, twenty-five million, one hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 229 252 288 336 458 504 672 687 916 1008 1374 1603 1832 2016 2061 2748 3206 3664 4122 4809 5496 6412 7328 8244 9618 10992 12824 14427 15217 16488 19236 21984 25648 28854 30434 32976 38472 45651 51296 57708 60868 65952 76944 91302 106519 115416 121736 136953 153888 182604 213038 230832 243472 273906 319557 365208 426076 461664 486944 547812 639114 730416 852152 958671 1095624 1278228 1460832 1704304 1917342 2191248 2556456 3408608 3484693 3834684 4382496 5112912 6969386 7669368 10225824 10454079 13938772 15338736 20908158 24392851 27877544 30677472 31362237 41816316 48785702 55755088 62724474 73178553 83632632 97571404 111510176 125448948 146357106 167265264 195142808 219535659 250897896 292714212 334530528 390285616 439071318 501795792 585428424 780571232 878142636 1003591584 1170856848 1756285272 2341713696 3512570544 7025141088