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144001621226432 = 2619479247228363
BaseRepresentation
bin100000101111011111111101…
…011110101111001111000000
3200212212102100120120002002202
4200233133331132233033000
5122333310310013221212
61230133233113332332
742221526262346654
oct4057377536571700
9625772316502082
10144001621226432
1141979821082272
121419858b7070a8
1362473aa3645c8
14277ba03a88a64
15119ac2c98a0c2
hex82f7fd7af3c0

144001621226432 has 56 divisors (see below), whose sum is σ = 301420821388800. Its totient is φ = 68068890452736.

The previous prime is 144001621226387. The next prime is 144001621226483. The reversal of 144001621226432 is 234622126100441.

It is a super-2 number, since 2×1440016212264322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123031718 + ... + 124196645.

Almost surely, 2144001621226432 is an apocalyptic number.

It is an amenable number.

144001621226432 is an abundant number, since it is smaller than the sum of its proper divisors (157419200162368).

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

144001621226432 is a wasteful number, since it uses less digits than its factorization.

144001621226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247228873 (or 247228863 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

Adding to 144001621226432 its reverse (234622126100441), we get a palindrome (378623747326873).

The spelling of 144001621226432 in words is "one hundred forty-four trillion, one billion, six hundred twenty-one million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 479 608 958 1216 1916 3832 7664 9101 15328 18202 30656 36404 72808 145616 291232 582464 247228363 494456726 988913452 1977826904 3955653808 4697338897 7911307616 9394677794 15822615232 18789355588 37578711176 75157422352 118422385877 150314844704 236844771754 300629689408 473689543508 947379087016 1894758174032 2250025331663 3789516348064 4500050663326 7579032696128 9000101326652 18000202653304 36000405306608 72000810613216 144001621226432