Search a number
-
+
321012104414140 = 225263325918726271
BaseRepresentation
bin100100011111101010111010…
…0011100111100001110111100
31120002121110100111102110121201
41020333111310130330032330
5314033430242212223030
63054422531440305244
7124421234126213116
oct11077256434741674
91502543314373551
10321012104414140
119331451819a9a7
1230006368312224
1310a174086468c9
14593b0d69383b6
15271a3dc9542ca
hex123f57473c3bc

321012104414140 has 48 divisors (see below), whose sum is σ = 676896306831360. Its totient is φ = 127877353335360.

The previous prime is 321012104414101. The next prime is 321012104414233. The reversal of 321012104414140 is 41414401210123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321012104414099 and 321012104414108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7779205 + ... + 26505475.

It is an arithmetic number, because the mean of its divisors is an integer number (14102006392320).

Almost surely, 2321012104414140 is an apocalyptic number.

It is an amenable number.

321012104414140 is an abundant number, since it is smaller than the sum of its proper divisors (355884202417220).

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

321012104414140 is a wasteful number, since it uses less digits than its factorization.

321012104414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18729802 (or 18729800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 321012104414140 its reverse (41414401210123), we get a palindrome (362426505624263).

The spelling of 321012104414140 in words is "three hundred twenty-one trillion, twelve billion, one hundred four million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 263 526 1052 1315 2630 3259 5260 6518 13036 16295 32590 65180 857117 1714234 3428468 4285585 8571170 17142340 18726271 37452542 74905084 93631355 187262710 374525420 4925009273 9850018546 19700037092 24625046365 49250092730 61028917189 98500185460 122057834378 244115668756 305144585945 610289171890 1220578343780 16050605220707 32101210441414 64202420882828 80253026103535 160506052207070 321012104414140