Search a number
-
+
401311231320244 = 227231514549907199
BaseRepresentation
bin101101100111111011000110…
…1011000110010000010110100
31221121220222102201022202022211
41123033312031120302002310
5410100040400204221434
63541303500132503204
7150346531265151640
oct13317661530620264
91847828381282284
10401311231320244
11106963156a10a33
123901497b47ab04
13142c06434719cb
1471157d26b9c20
15315e05d087464
hex16cfd8d6320b4

401311231320244 has 96 divisors (see below), whose sum is σ = 843251834880000. Its totient is φ = 163387085558400.

The previous prime is 401311231320239. The next prime is 401311231320271. The reversal of 401311231320244 is 442023132113104.

It is a happy number.

It is a super-2 number, since 2×4013112313202442 (a number of 30 digits) contains 22 as substring.

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, 441909357 + ... + 442816555.

It is an arithmetic number, because the mean of its divisors is an integer number (8783873280000).

Almost surely, 2401311231320244 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 401311231320244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421625917440000).

401311231320244 is an abundant number, since it is smaller than the sum of its proper divisors (441940603559756).

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

401311231320244 is a wasteful number, since it uses less digits than its factorization.

401311231320244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911933 (or 911931 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 401311231320244 its reverse (442023132113104), we get a palindrome (843334363433348).

The spelling of 401311231320244 in words is "four hundred one trillion, three hundred eleven billion, two hundred thirty-one million, three hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 151 161 302 322 604 644 1057 2114 3473 4228 4549 6946 9098 13892 18196 24311 31843 48622 63686 97244 104627 127372 209254 418508 686899 732389 907199 1373798 1464778 1814398 2747596 2929556 3628796 4808293 6350393 9616586 12700786 15798677 19233172 20865577 25401572 31597354 41731154 63194708 83462308 110590739 136987049 146059039 221181478 273974098 292118078 442362956 547948196 584236156 958909343 1917818686 3150702127 3835637372 4126848251 6301404254 8253696502 12602808508 16507393004 22054914889 28887937757 44109829778 57775875514 88219659556 94917509773 115551751028 189835019546 379670039092 623154085901 664422568411 1246308171802 1328845136822 2492616343604 2657690273644 4362078601307 8724157202614 14332543975723 17448314405228 28665087951446 57330175902892 100327807830061 200655615660122 401311231320244