Search a number
-
+
312505536301244 = 2211131061514927757
BaseRepresentation
bin100011100001110001101110…
…1011110110100100010111100
31111222111020102010202122110022
41013003203131132310202330
5311430042314243114434
63024351021135431312
7122552531341245056
oct10703433536644274
91458436363678408
10312505536301244
119063494326a8a0
122b0717bb985538
131054b1b7c26260
1457254c4a208d6
15261debd45322e
hex11c38dd7b48bc

312505536301244 has 48 divisors (see below), whose sum is σ = 643099456099296. Its totient is φ = 130997621126400.

The previous prime is 312505536301237. The next prime is 312505536301267. The reversal of 312505536301244 is 442103635505213.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 312505536301195 and 312505536301204.

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, 256856987 + ... + 258070770.

It is an arithmetic number, because the mean of its divisors is an integer number (13397905335402).

Almost surely, 2312505536301244 is an apocalyptic number.

It is an amenable number.

312505536301244 is an abundant number, since it is smaller than the sum of its proper divisors (330593919798052).

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

312505536301244 is a wasteful number, since it uses less digits than its factorization.

312505536301244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514928846 (or 514928844 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 312505536301244 in words is "three hundred twelve trillion, five hundred five billion, five hundred thirty-six million, three hundred one thousand, two hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 1061 2122 4244 11671 13793 23342 27586 46684 55172 151723 303446 606892 514927757 1029855514 2059711028 5664205327 6694060841 11328410654 13388121682 22656821308 26776243364 73634669251 147269338502 294538677004 546338350177 1092676700354 2185353400708 6009721851947 7102398552301 12019443703894 14204797104602 24038887407788 28409594209204 78126384075311 156252768150622 312505536301244