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144403334102340 = 22345247633599639
BaseRepresentation
bin100000110101010110000101…
…011011101111110101000100
3200221021211020122012120010000
4200311112011123233311010
5122411401012012233330
61231041550442401300
742262540143431205
oct4065260533576504
9627254218176100
10144403334102340
1142014123571695
1214242400500230
136276239809a91
1427932315255ac
1511a63de92c560
hex8355856efd44

144403334102340 has 120 divisors (see below), whose sum is σ = 453017026566720. Its totient is φ = 38505990019392.

The previous prime is 144403334102323. The next prime is 144403334102341. The reversal of 144403334102340 is 43201433304441.

144403334102340 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 3 + 3 + 3 + 410 + 234 + 0 = 666.

144403334102340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 144403334102295 and 144403334102304.

It is not an unprimeable number, because it can be changed into a prime (144403334102341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38316241 + ... + 41915879.

It is an arithmetic number, because the mean of its divisors is an integer number (3775141888056).

Almost surely, 2144403334102340 is an apocalyptic number.

144403334102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144403334102340 is an abundant number, since it is smaller than the sum of its proper divisors (308613692464380).

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

144403334102340 is a wasteful number, since it uses less digits than its factorization.

144403334102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624423 (or 3624412 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144403334102340 its reverse (43201433304441), we get a palindrome (187604767406781).

The spelling of 144403334102340 in words is "one hundred forty-four trillion, four hundred three billion, three hundred thirty-four million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 24763 49526 74289 99052 123815 148578 222867 247630 297156 371445 445734 495260 668601 742890 891468 1114335 1337202 1485780 2005803 2228670 2674404 3343005 3599639 4011606 4457340 6686010 7199278 8023212 10029015 10798917 13372020 14398556 17998195 20058030 21597834 32396751 35996390 40116060 43195668 53994585 64793502 71992780 97190253 107989170 129587004 161983755 194380506 215978340 291570759 323967510 388761012 485951265 583141518 647935020 971902530 1166283036 1457853795 1943805060 2915707590 5831415180 89137860557 178275721114 267413581671 356551442228 445689302785 534827163342 802240745013 891378605570 1069654326684 1337067908355 1604481490026 1782757211140 2406722235039 2674135816710 3208962980052 4011203725065 4813444470078 5348271633420 7220166705117 8022407450130 9626888940156 12033611175195 14440333410234 16044814900260 24067222350390 28880666820468 36100833525585 48134444700780 72201667051170 144403334102340