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144004314132 = 223371910025363
BaseRepresentation
bin1000011000011101010…
…0110111010000010100
3111202200220112010002000
42012013110313100110
54324410101023012
6150053224115300
713255363321350
oct2060724672024
9452626463060
10144004314132
1156087754668
1223aaa905b30
131076c364243
146d81386460
153b2c549ddc
hex2187537414

144004314132 has 96 divisors (see below), whose sum is σ = 449136307200. Its totient is φ = 38978607456.

The previous prime is 144004314127. The next prime is 144004314137. The reversal of 144004314132 is 231413400441.

It is an interprime number because it is at equal distance from previous prime (144004314127) and next prime (144004314137).

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

It is a junction number, because it is equal to n+sod(n) for n = 144004314096 and 144004314105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144004314137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998318 + ... + 5027045.

It is an arithmetic number, because the mean of its divisors is an integer number (4678503200).

Almost surely, 2144004314132 is an apocalyptic number.

144004314132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144004314132 is an abundant number, since it is smaller than the sum of its proper divisors (305131993068).

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

144004314132 is a wasteful number, since it uses less digits than its factorization.

144004314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025402 (or 10025394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144004314132 its reverse (231413400441), we get a palindrome (375417714573).

The spelling of 144004314132 in words is "one hundred forty-four billion, four million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 10025363 20050726 30076089 40101452 60152178 70177541 90228267 120304356 140355082 180456534 190481897 210532623 270684801 280710164 360913068 380963794 421065246 541369602 571445691 631597869 761927588 842130492 1082739204 1142891382 1263195738 1333373279 1714337073 1894793607 2285782764 2526391476 2666746558 3428674146 3789587214 4000119837 5143011219 5333493116 6857348292 7579174428 8000239674 10286022438 12000359511 16000479348 20572044876 24000719022 36001078533 48001438044 72002157066 144004314132