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144300130031020 = 225597111291525571
BaseRepresentation
bin100000110011110101111101…
…111111011101010110101100
3200220220221212011112112022011
4200303311331333131112230
5122403203131241443040
61230522321541131004
742252224512334665
oct4063657577352654
9626827764475264
10144300130031020
1141a84383562367
12142263b96b9a64
1362695a0264662
14278c240b3a36c
1511a389e28d3ea
hex833d7dfdd5ac

144300130031020 has 96 divisors (see below), whose sum is σ = 312783755558400. Its totient is φ = 55892979340800.

The previous prime is 144300130030993. The next prime is 144300130031027. The reversal of 144300130031020 is 20130031003441.

It is a junction number, because it is equal to n+sod(n) for n = 144300130030982 and 144300130031000.

It is not an unprimeable number, because it can be changed into a prime (144300130031027) 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, 93824835 + ... + 95350405.

It is an arithmetic number, because the mean of its divisors is an integer number (3258164120400).

Almost surely, 2144300130031020 is an apocalyptic number.

144300130031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300130031020 is an abundant number, since it is smaller than the sum of its proper divisors (168483625527380).

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

144300130031020 is a wasteful number, since it uses less digits than its factorization.

144300130031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526839 (or 1526837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 144300130031020 its reverse (20130031003441), we get a palindrome (164430161034461).

The spelling of 144300130031020 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 59 71 118 142 236 284 295 355 590 710 1129 1180 1420 2258 4189 4516 5645 8378 11290 16756 20945 22580 41890 66611 80159 83780 133222 160318 266444 320636 333055 400795 666110 801590 1332220 1525571 1603180 3051142 4729381 6102284 7627855 9458762 15255710 18917524 23646905 30511420 47293810 90008689 94587620 108315541 180017378 216631082 360034756 433262164 450043445 541577705 900086890 1083155410 1722369659 1800173780 2166310820 3444739318 6390616919 6889478636 8611848295 12781233838 17223696590 25562467676 31953084595 34447393180 63906169190 101619809881 122288245789 127812338380 203239619762 244576491578 406479239524 489152983156 508099049405 611441228945 1016198098810 1222882457890 2032396197620 2445764915780 7215006501551 14430013003102 28860026006204 36075032507755 72150065015510 144300130031020