Search a number
-
+
144301340340 = 223251937341381
BaseRepresentation
bin1000011001100100000…
…1111011011010110100
3111210110121102121102200
42012121001323122310
54331012120342330
6150142514304500
713265631104103
oct2063101733264
9453417377380
10144301340340
115621a387873
1223b72288130
13107b8a605b1
146dac9c403a
153b4866ca60
hex219907b6b4

144301340340 has 72 divisors (see below), whose sum is σ = 437747237928. Its totient is φ = 38477441280.

The previous prime is 144301340213. The next prime is 144301340479. The reversal of 144301340340 is 43043103441.

144301340340 is a `hidden beast` number, since 14 + 4 + 301 + 3 + 4 + 0 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9086283684 + 135215056656 = 95322^2 + 367716^2 .

It is a super-2 number, since 2×1443013403402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3466450 + ... + 3507830.

It is an arithmetic number, because the mean of its divisors is an integer number (6079822749).

Almost surely, 2144301340340 is an apocalyptic number.

144301340340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144301340340 is an abundant number, since it is smaller than the sum of its proper divisors (293445897588).

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

144301340340 is a wasteful number, since it uses less digits than its factorization.

144301340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60769 (or 60764 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 144301340340 its reverse (43043103441), we get a palindrome (187344443781).

The spelling of 144301340340 in words is "one hundred forty-four billion, three hundred one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 19373 38746 41381 58119 77492 82762 96865 116238 124143 165524 174357 193730 206905 232476 248286 290595 348714 372429 387460 413810 496572 581190 620715 697428 744858 827620 871785 1162380 1241430 1489716 1743570 1862145 2482860 3487140 3724290 7448580 801674113 1603348226 2405022339 3206696452 4008370565 4810044678 7215067017 8016741130 9620089356 12025111695 14430134034 16033482260 24050223390 28860268068 36075335085 48100446780 72150670170 144301340340