Search a number
-
+
143005593648 = 243171935925693
BaseRepresentation
bin1000010100101111001…
…1000011000000110000
3111200010022020212010110
42011023303003000300
54320333412444043
6145410150101320
713221545330001
oct2051363030060
9450108225113
10143005593648
1155714a25135
122387034a840
1310640484588
146cc888d1a8
153abea1cb33
hex214bcc3030

143005593648 has 160 divisors (see below), whose sum is σ = 412912857600. Its totient is φ = 42383167488.

The previous prime is 143005593641. The next prime is 143005593673. The reversal of 143005593648 is 846395500341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 143005593597 and 143005593606.

It is not an unprimeable number, because it can be changed into a prime (143005593641) 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, 5553090 + ... + 5578782.

It is an arithmetic number, because the mean of its divisors is an integer number (2580705360).

Almost surely, 2143005593648 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 143005593648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206456428800).

143005593648 is an abundant number, since it is smaller than the sum of its proper divisors (269907263952).

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

143005593648 is a wasteful number, since it uses less digits than its factorization.

143005593648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26099 (or 26093 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 143005593648 in words is "one hundred forty-three billion, five million, five hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 359 408 456 646 718 816 912 969 1077 1292 1436 1938 2154 2584 2872 3876 4308 5168 5744 6103 6821 7752 8616 12206 13642 15504 17232 18309 20463 24412 25693 27284 36618 40926 48824 51386 54568 73236 77079 81852 97648 102772 109136 115957 146472 154158 163704 205544 231914 292944 308316 327408 347871 411088 436781 463828 488167 616632 695742 873562 927656 976334 1233264 1310343 1391484 1464501 1747124 1855312 1952668 2620686 2782968 2929002 3494248 3905336 5241372 5565936 5858004 6988496 7810672 8298839 9223787 10482744 11716008 16597678 18447574 20965488 23432016 24896517 27671361 33195356 36895148 49793034 55342722 66390712 73790296 99586068 110685444 132781424 147580592 156804379 175251953 199172136 221370888 313608758 350503906 398344272 442741776 470413137 525755859 627217516 701007812 940826274 1051511718 1254435032 1402015624 1881652548 2103023436 2508870064 2804031248 2979283201 3763305096 4206046872 5958566402 7526610192 8412093744 8937849603 11917132804 17875699206 23834265608 35751398412 47668531216 71502796824 143005593648