Search a number
-
+
141312344310 = 23352337361007
BaseRepresentation
bin1000001110011011011…
…1110100000011110110
3111111202022002212201000
42003212313310003312
54303401430004220
6144530141544130
713131565052004
oct2034667640366
9444668085630
10141312344310
1154a26152915
1223479275046
131043072c8a7
146ba7a43a74
153a2104e390
hex20e6df40f6

141312344310 has 128 divisors (see below), whose sum is σ = 394277621760. Its totient is φ = 35947663488.

The previous prime is 141312344279. The next prime is 141312344359. The reversal of 141312344310 is 13443213141.

141312344310 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 2 + 344 + 310 = 666.

141312344310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413123443102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2285827 + ... + 2346833.

It is an arithmetic number, because the mean of its divisors is an integer number (3080293920).

Almost surely, 2141312344310 is an apocalyptic number.

141312344310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141312344310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197138810880).

141312344310 is an abundant number, since it is smaller than the sum of its proper divisors (252965277450).

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

141312344310 is a wasteful number, since it uses less digits than its factorization.

141312344310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61419 (or 61413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141312344310 its reverse (13443213141), we get a palindrome (154755557451).

The spelling of 141312344310 in words is "one hundred forty-one billion, three hundred twelve million, three hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 373 414 621 690 746 1035 1119 1242 1865 2070 2238 3105 3357 3730 5595 6210 6714 8579 10071 11190 16785 17158 20142 25737 33570 42895 50355 51474 61007 77211 85790 100710 122014 128685 154422 183021 231633 257370 305035 366042 386055 463266 549063 610070 772110 915105 1098126 1158165 1403161 1647189 1830210 2316330 2745315 2806322 3294378 4209483 5490630 7015805 8235945 8418966 12628449 14031610 16471890 21047415 22755611 25256898 37885347 42094830 45511222 63142245 68266833 75770694 113778055 126284490 136533666 189426735 204800499 227556110 341334165 378853470 409600998 523379053 614401497 682668330 1024002495 1046758106 1228802994 1570137159 2048004990 2616895265 3072007485 3140274318 4710411477 5233790530 6144014970 7850685795 9420822954 14131234431 15701371590 23552057385 28262468862 47104114770 70656172155 141312344310