Search a number
-
+
312342332324440 = 235113122898997971
BaseRepresentation
bin100011100000100101101110…
…1110001000011101001011000
31111221220122011011200121112211
41013001023131301003221120
5311414404044033340230
63024144030412044504
7122534663111316445
oct10701133561035130
91457818134617484
10312342332324440
1190581703938520
122b046053163734
13105389a8c57992
14571b6417a89cc
152619b1a57e42a
hex11c12ddc43a58

312342332324440 has 64 divisors (see below), whose sum is σ = 791389369912320. Its totient is φ = 109915190256000.

The previous prime is 312342332324437. The next prime is 312342332324543. The reversal of 312342332324440 is 44423233243213.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 312342332324393 and 312342332324402.

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, 11449485346 + ... + 11449512625.

It is an arithmetic number, because the mean of its divisors is an integer number (12365458904880).

Almost surely, 2312342332324440 is an apocalyptic number.

It is an amenable number.

312342332324440 is an abundant number, since it is smaller than the sum of its proper divisors (479047037587880).

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

312342332324440 is a wasteful number, since it uses less digits than its factorization.

312342332324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22898998024 (or 22898998020 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 312342332324440 its reverse (44423233243213), we get a palindrome (356765565567653).

The spelling of 312342332324440 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred thirty-two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 22898997971 45797995942 91595991884 114494989855 183191983768 228989979710 251888977681 457979959420 503777955362 709868937101 915959918840 1007555910724 1259444888405 1419737874202 2015111821448 2518889776810 2839475748404 3549344685505 5037779553620 5678951496808 7098689371010 7808558308111 10075559107240 14197378742020 15617116616222 28394757484040 31234233232444 39042791540555 62468466464888 78085583081110 156171166162220 312342332324440