Search a number
-
+
730142244744000 = 26353114271647551
BaseRepresentation
bin1010011000000011110111110…
…1001000100010101101000000
310112202012220202102111011002220
42212000331331020202231000
51231200122304123302000
611104514414445011040
7306536015323364244
oct24600757510425500
93482186672434086
10730142244744000
111a1711650430740
1269a82560553a80
132545416ca2038a
14cc43104c22424
155962a1e5921a0
hex2980f7d222b40

730142244744000 has 448 divisors, whose sum is σ = 2630724986732544. Its totient is φ = 176962464000000.

The previous prime is 730142244743963. The next prime is 730142244744037. The reversal of 730142244744000 is 447442241037.

It is an interprime number because it is at equal distance from previous prime (730142244743963) and next prime (730142244744037).

It is a super-3 number, since 3×7301422447440003 (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127220225 + ... + 1127867775.

Almost surely, 2730142244744000 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 730142244744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315362493366272).

730142244744000 is an abundant number, since it is smaller than the sum of its proper divisors (1900582741988544).

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

730142244744000 is a wasteful number, since it uses less digits than its factorization.

730142244744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651863 (or 651843 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

Adding to 730142244744000 its reverse (447442241037), we get a palindrome (730589686985037).

The spelling of 730142244744000 in words is "seven hundred thirty trillion, one hundred forty-two billion, two hundred forty-four million, seven hundred forty-four thousand".