Search a number
-
+
344303142120210 = 235713129197690447
BaseRepresentation
bin100111001001001000101001…
…0011110110010101100010010
31200011002001120221221120110110
41032102101102132302230102
5330112030313340321320
63220134402510142150
7132344036554205610
oct11622212236625422
91604061527846413
10344303142120210
119a784162842919
12327483097b1956
1311a1685457b520
14610450a7d26b0
1529c11ac9ad5e0
hex13924527b2b12

344303142120210 has 128 divisors (see below), whose sum is σ = 1017806298292224. Its totient is φ = 72587908995840.

The previous prime is 344303142120163. The next prime is 344303142120221. The reversal of 344303142120210 is 12021241303443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45320794 + ... + 52369653.

It is an arithmetic number, because the mean of its divisors is an integer number (7951611705408).

Almost surely, 2344303142120210 is an apocalyptic number.

344303142120210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344303142120210 is an abundant number, since it is smaller than the sum of its proper divisors (673503156172014).

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

344303142120210 is a wasteful number, since it uses less digits than its factorization.

344303142120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97691768.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 344303142120210 its reverse (12021241303443), we get a palindrome (356324383423653).

The spelling of 344303142120210 in words is "three hundred forty-four trillion, three hundred three billion, one hundred forty-two million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1291 1365 2582 2730 3873 6455 7746 9037 12910 16783 18074 19365 27111 33566 38730 45185 50349 54222 83915 90370 100698 117481 135555 167830 234962 251745 271110 352443 503490 587405 704886 1174810 1762215 3524430 97690447 195380894 293071341 488452235 586142682 683833129 976904470 1269975811 1367666258 1465356705 2051499387 2539951622 2930713410 3419165645 3809927433 4102998774 6349879055 6838331290 7619854866 8889830677 10257496935 12699758110 17779661354 19049637165 20514993870 26669492031 38099274330 44449153385 53338984062 88898306770 126118367077 133347460155 252236734154 266694920310 378355101231 630591835385 756710202462 882828569539 1261183670770 1639538772001 1765657139078 1891775506155 2648485708617 3279077544002 3783551012310 4414142847695 4918616316003 5296971417234 8197693860005 8828285695390 9837232632006 11476771404007 13242428543085 16395387720010 22953542808014 24593081580015 26484857086170 34430314212021 49186163160030 57383857020035 68860628424042 114767714040070 172151571060105 344303142120210