Search a number
-
+
144040442012012 = 227213127729761001
BaseRepresentation
bin100000110000000100000111…
…011000010010000101101100
3200220000010120001201022112002
4200300010013120102011230
5122334424311123341022
61230203133205431432
742224402300522600
oct4060040730220554
9626003501638462
10144040442012012
1141994232431037
12141a400470b578
13624ac5601c550
14277d8477b7500
15119bc50b90092
hex83010761216c

144040442012012 has 144 divisors (see below), whose sum is σ = 318316267680768. Its totient is φ = 56525672448000.

The previous prime is 144040442012003. The next prime is 144040442012069. The reversal of 144040442012012 is 210210244040441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361249512 + ... + 2361310512.

It is an arithmetic number, because the mean of its divisors is an integer number (2210529636672).

Almost surely, 2144040442012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144040442012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159158133840384).

144040442012012 is an abundant number, since it is smaller than the sum of its proper divisors (174275825668756).

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

144040442012012 is a wasteful number, since it uses less digits than its factorization.

144040442012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68456 (or 68447 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 144040442012012 its reverse (210210244040441), we get a palindrome (354250686052453).

The spelling of 144040442012012 in words is "one hundred forty-four trillion, forty billion, four hundred forty-two million, twelve thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 127 182 196 254 364 508 637 889 1274 1651 1778 2548 3302 3556 6223 6604 7297 11557 12446 14594 23114 24892 29188 46228 51079 61001 80899 94861 102158 122002 161798 189722 204316 244004 323596 357553 379444 427007 664027 715106 793013 854014 926719 1328054 1430212 1586026 1708028 1853438 2656108 2989049 3172052 3706876 4648189 5551091 5978098 6487033 7747127 9296378 11102182 11956196 12047347 12974066 15494254 18592756 22204364 24094694 25948132 30988508 38857637 45409231 48189388 54229889 77715274 84331429 90818462 100712651 108459778 155430548 168662858 181636924 201425302 216919556 337325716 379609223 402850604 445124297 590320003 704988557 759218446 890248594 1180640006 1409977114 1518436892 1780497188 2361280012 2819954228 3115870079 4934919899 5786615861 6231740158 9869839798 11573231722 12463480316 19739679596 21811090553 23146463444 40506311027 43622181106 56530785719 81012622054 87244362212 113061571438 162025244108 226123142876 283544177189 395715500033 567088354378 734900214347 791431000066 1134176708756 1469800428694 1582862000132 2770008500231 2939600857388 5144301500429 5540017000462 10288603000858 11080034000924 20577206001716 36010110503003 72020221006006 144040442012012