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144424301414140 = 22511719246114047
BaseRepresentation
bin100000110101101001100111…
…001011101100011011111100
3200221100211100212220100200201
4200311221213023230123330
5122412221432130223030
61231055335204533244
742264211552563136
oct4065514713543374
9627324325810621
10144424301414140
1142022003018350
12142464923b1224
1362781cb718157
14279426008a056
1511a6c1a56e2ca
hex835a672ec6fc

144424301414140 has 48 divisors (see below), whose sum is σ = 335522986573824. Its totient is φ = 51778238657600.

The previous prime is 144424301414093. The next prime is 144424301414167. The reversal of 144424301414140 is 41414103424441.

It is a happy number.

It is a super-2 number, since 2×1444243014141402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144424301414140.

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, 4623041404 + ... + 4623072643.

It is an arithmetic number, because the mean of its divisors is an integer number (6990062220288).

Almost surely, 2144424301414140 is an apocalyptic number.

144424301414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144424301414140 is an abundant number, since it is smaller than the sum of its proper divisors (191098685159684).

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

144424301414140 is a wasteful number, since it uses less digits than its factorization.

144424301414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246114138 (or 9246114136 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 144424301414140 its reverse (41414103424441), we get a palindrome (185838404838581).

It can be divided in two parts, 144424301 and 414140, that added together give a palindrome (144838441).

The spelling of 144424301414140 in words is "one hundred forty-four trillion, four hundred twenty-four billion, three hundred one million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 9246114047 18492228094 36984456188 46230570235 92461140470 101707254517 184922280940 203414509034 406829018068 508536272585 656474097337 1017072545170 1312948194674 2034145090340 2625896389348 3282370486685 6564740973370 7221215070707 13129481946740 14442430141414 28884860282828 36106075353535 72212150707070 144424301414140