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144126222063021 = 321147268791152383
BaseRepresentation
bin100000110001010100000000…
…010001001101010110101101
3200220022022222020000101220100
4200301110000101031112231
5122342331000322004041
61230310401121541313
742233530066111062
oct4061240021152655
9626268866011810
10144126222063021
1141a17650a9aa80
12141b87641a4839
13625607679c993
142783a64068c69
15119e0c17eb6b6
hex83150044d5ad

144126222063021 has 48 divisors (see below), whose sum is σ = 231948901416960. Its totient is φ = 85487476572960.

The previous prime is 144126222063001. The next prime is 144126222063079. The reversal of 144126222063021 is 120360222621441.

144126222063021 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 622 + 2 + 0 + 6 + 3 + 0 + 21 = 666.

It is not a de Polignac number, because 144126222063021 - 226 = 144126154954157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144126222063001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124491796 + ... + 125644178.

It is an arithmetic number, because the mean of its divisors is an integer number (4832268779520).

Almost surely, 2144126222063021 is an apocalyptic number.

144126222063021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144126222063021 is a deficient number, since it is larger than the sum of its proper divisors (87822679353939).

144126222063021 is a wasteful number, since it uses less digits than its factorization.

144126222063021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179326 (or 1179323 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 144126222063021 its reverse (120360222621441), we get a palindrome (264486444684462).

The spelling of 144126222063021 in words is "one hundred forty-four trillion, one hundred twenty-six billion, two hundred twenty-two million, sixty-three thousand, twenty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 26879 80637 241911 295669 887007 1152383 1263313 2661021 3457149 3789939 10371447 11369817 12676213 13896443 38028639 41689329 54162001 114085917 125067987 162486003 487458009 595782011 1787346033 5362038099 30974902657 92924707971 278774123913 340723929227 1022171787681 1455820424879 3066515363043 4367461274637 13102383823911 16014024673669 48042074021007 144126222063021