Search a number
-
+
144220325452340 = 225171932843679753
BaseRepresentation
bin100000110010101011101001…
…010001001001101000110100
3200220122022212110010212221212
4200302223221101021220310
5122400401211303433330
61230421523004100552
742243401052530564
oct4062535121115064
9626568773125855
10144220325452340
1141a535509a1205
1214212a47234758
136261bc2772a77
14278842dd10da4
1511a177d022295
hex832ae9449a34

144220325452340 has 96 divisors (see below), whose sum is σ = 337566706485120. Its totient is φ = 51435452583936.

The previous prime is 144220325452303. The next prime is 144220325452369. The reversal of 144220325452340 is 43254523022441.

It is a super-2 number, since 2×1442203254523402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211825904 + ... + 212505656.

It is an arithmetic number, because the mean of its divisors is an integer number (3516319859220).

Almost surely, 2144220325452340 is an apocalyptic number.

144220325452340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144220325452340 is an abundant number, since it is smaller than the sum of its proper divisors (193346381032780).

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

144220325452340 is a wasteful number, since it uses less digits than its factorization.

144220325452340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712641 (or 712639 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

Adding to 144220325452340 its reverse (43254523022441), we get a palindrome (187474848474781).

The spelling of 144220325452340 in words is "one hundred forty-four trillion, two hundred twenty billion, three hundred twenty-five million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 32843 65686 131372 164215 328430 558331 624017 656860 679753 1116662 1248034 1359506 2233324 2496068 2719012 2791655 3120085 3398765 5583310 6240170 6797530 10608289 11166620 11555801 12480340 12915307 13595060 21216578 23111602 25830614 42433156 46223204 51661228 53041445 57779005 64576535 106082890 115558010 129153070 212165780 219560219 231116020 258306140 439120438 878240876 1097801095 2195602190 4391204380 22325127779 44650255558 89300511116 111625638895 223251277790 379527172243 424177427801 446502555580 759054344486 848354855602 1518108688972 1696709711204 1897635861215 2120887139005 3795271722430 4241774278010 7211016272617 7590543444860 8483548556020 14422032545234 28844065090468 36055081363085 72110162726170 144220325452340