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144442231210440 = 233253112942852259
BaseRepresentation
bin100000110101111010010011…
…111000011100000111001000
3200221102112122102222101100100
4200311322103320130013020
5122413020142142213230
61231111502302405400
742265415066412552
oct4065722370340710
9627375572871310
10144442231210440
1142029673a0a719
1214249a56b90860
136279ac8238287
1427950814404d2
1511a74196ab660
hex835e93e1c1c8

144442231210440 has 96 divisors (see below), whose sum is σ = 484580388614400. Its totient is φ = 37275414503040.

The previous prime is 144442231210439. The next prime is 144442231210441. The reversal of 144442231210440 is 44012132244441.

144442231210440 is a `hidden beast` number, since 1 + 44 + 442 + 2 + 31 + 2 + 104 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (144442231210439) and next prime (144442231210441).

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 = 144442231210395 and 144442231210404.

It is not an unprimeable number, because it can be changed into a prime (144442231210441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6471414970 + ... + 6471437289.

It is an arithmetic number, because the mean of its divisors is an integer number (5047712381400).

Almost surely, 2144442231210440 is an apocalyptic number.

144442231210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442231210440 is an abundant number, since it is smaller than the sum of its proper divisors (340138157403960).

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

144442231210440 is a wasteful number, since it uses less digits than its factorization.

144442231210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942852307 (or 12942852300 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144442231210440 its reverse (44012132244441), we get a palindrome (188454363454881).

The spelling of 144442231210440 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred thirty-one million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 12942852259 25885704518 38828556777 51771409036 64714261295 77657113554 103542818072 116485670331 129428522590 155314227108 194142783885 232971340662 258857045180 310628454216 388285567770 401228420029 465942681324 517714090360 582428351655 776571135540 802456840058 931885362648 1164856703310 1203685260087 1553142271080 1604913680116 2006142100145 2329713406620 2407370520174 3209827360232 3611055780261 4012284200290 4659426813240 4814741040348 6018426300435 7222111560522 8024568400580 9629482080696 12036852600870 14444223121044 16049136801160 18055278901305 24073705201740 28888446242088 36110557802610 48147410403480 72221115605220 144442231210440