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144300444234012 = 22341142859944687
BaseRepresentation
bin100000110011110110010000…
…101110000011000100011100
3200220220222200001202200210000
4200303312100232003010130
5122403204302210442022
61230522413043414300
742252235346120463
oct4063662056030434
9626828601680700
10144300444234012
1141a84524957760
1214226486984390
1362696203960a1
14278c2707699da
1511a38bbb556ac
hex833d90b8311c

144300444234012 has 120 divisors (see below), whose sum is σ = 411533526539520. Its totient is φ = 43726340795040.

The previous prime is 144300444234007. The next prime is 144300444234073. The reversal of 144300444234012 is 210432444003441.

144300444234012 is a `hidden beast` number, since 1 + 4 + 4 + 300 + 4 + 4 + 4 + 2 + 340 + 1 + 2 = 666.

It is a super-2 number, since 2×1443004442340122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152277133 + ... + 153221819.

It is an arithmetic number, because the mean of its divisors is an integer number (3429446054496).

Almost surely, 2144300444234012 is an apocalyptic number.

144300444234012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144300444234012 is an abundant number, since it is smaller than the sum of its proper divisors (267233082305508).

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

144300444234012 is a wasteful number, since it uses less digits than its factorization.

144300444234012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987573 (or 987562 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144300444234012 its reverse (210432444003441), we get a palindrome (354732888237453).

The spelling of 144300444234012 in words is "one hundred forty-four trillion, three hundred billion, four hundred forty-four million, two hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 42859 85718 128577 171436 257154 385731 471449 514308 771462 942898 944687 1157193 1414347 1542924 1885796 1889374 2314386 2828694 2834061 3471579 3778748 4243041 4628772 5657388 5668122 6943158 8486082 8502183 10391557 11336244 12729123 13886316 16972164 17004366 20783114 25458246 25506549 31174671 34008732 38187369 41566228 50916492 51013098 62349342 76374738 76519647 93524013 102026196 124698684 152749476 153039294 187048026 280572039 306078588 374096052 561144078 841716117 1122288156 1683432234 3366864468 40488340133 80976680266 121465020399 161953360532 242930040798 364395061197 445371741463 485860081596 728790122394 890743482926 1093185183591 1336115224389 1457580244788 1781486965852 2186370367182 2672230448778 3279555550773 4008345673167 4372740734364 5344460897556 6559111101546 8016691346334 12025037019501 13118222203092 16033382692668 24050074039002 36075111058503 48100148078004 72150222117006 144300444234012