Search a number
-
+
281440602456 = 233138322947459
BaseRepresentation
bin1000001100001110010…
…10101100100101011000
3222220110002010221112220
410012013022230211120
514102342243234311
6333143024504040
726222234435526
oct4060712544530
9886402127486
10281440602456
11a93a3979222
1246665a7b020
1320702a4a580
14d89c2db316
1574c3158206
hex41872ac958

281440602456 has 128 divisors (see below), whose sum is σ = 770218848000. Its totient is φ = 85178377728.

The previous prime is 281440602449. The next prime is 281440602461. The reversal of 281440602456 is 654206044182.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5906455 + ... + 5953913.

It is an arithmetic number, because the mean of its divisors is an integer number (6017334750).

Almost surely, 2281440602456 is an apocalyptic number.

281440602456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281440602456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385109424000).

281440602456 is an abundant number, since it is smaller than the sum of its proper divisors (488778245544).

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

281440602456 is a wasteful number, since it uses less digits than its factorization.

281440602456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47793 (or 47789 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 281440602456 in words is "two hundred eighty-one billion, four hundred forty million, six hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 229 249 312 332 458 498 664 687 916 996 1079 1374 1832 1992 2158 2748 2977 3237 4316 5496 5954 6474 8632 8931 11908 12948 17862 19007 23816 25896 35724 38014 47459 57021 71448 76028 94918 114042 142377 152056 189836 228084 247091 284754 379672 456168 494182 569508 616967 741273 988364 1139016 1233934 1482546 1850901 1976728 2467868 2965092 3701802 3939097 4935736 5930184 7403604 7878194 10868111 11817291 14807208 15756388 21736222 23634582 31512776 32604333 43472444 47269164 51208261 65208666 86944888 94538328 102416522 130417332 141285443 153624783 204833044 260834664 282570886 307249566 409666088 423856329 565141772 614499132 847712658 902053213 1130283544 1228998264 1695425316 1804106426 2706159639 3390850632 3608212852 5412319278 7216425704 10824638556 11726691769 21649277112 23453383538 35180075307 46906767076 70360150614 93813534152 140720301228 281440602456