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144224401442440 = 235111465322369667
BaseRepresentation
bin100000110010101111011100…
…001101110100011010001000
3200220122201101111211122020011
4200302233130031310122020
5122400433033232124230
61230423435250441304
742243604055056624
oct4062573415643210
9626581344748204
10144224401442440
1141a55252767970
12142137a4293234
1362623c204c627
1427886d93a6184
1511a191aca7e2a
hex832bdc374688

144224401442440 has 64 divisors (see below), whose sum is σ = 354029524061760. Its totient is φ = 52441655397120.

The previous prime is 144224401442377. The next prime is 144224401442441. The reversal of 144224401442440 is 44244104422441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144224401442393 and 144224401442402.

It is not an unprimeable number, because it can be changed into a prime (144224401442441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4737514 + ... + 17632153.

It is an arithmetic number, because the mean of its divisors is an integer number (5531711313465).

Almost surely, 2144224401442440 is an apocalyptic number.

144224401442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144224401442440 is an abundant number, since it is smaller than the sum of its proper divisors (209805122619320).

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

144224401442440 is a wasteful number, since it uses less digits than its factorization.

144224401442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22384342 (or 22384338 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 144224401442440 its reverse (44244104422441), we get a palindrome (188468505864881).

The spelling of 144224401442440 in words is "one hundred forty-four trillion, two hundred twenty-four billion, four hundred one million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 14653 29306 58612 73265 117224 146530 161183 293060 322366 586120 644732 805915 1289464 1611830 3223660 6447320 22369667 44739334 89478668 111848335 178957336 223696670 246066337 447393340 492132674 894786680 984265348 1230331685 1968530696 2460663370 4921326740 9842653480 327782730551 655565461102 1311130922204 1638913652755 2622261844408 3277827305510 3605610036061 6555654611020 7211220072122 13111309222040 14422440144244 18028050180305 28844880288488 36056100360610 72112200721220 144224401442440