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144129921440 = 2555316996453
BaseRepresentation
bin1000011000111011010…
…0000001000110100000
3111210000122212121220112
42012032310001012200
54330134224441230
6150113512230452
713261450055411
oct2061664010640
9453018777815
10144129921440
115614164625a
1223b2499b428
131078c3a24ab
146d93d21808
153b385abd95
hex218ed011a0

144129921440 has 48 divisors (see below), whose sum is σ = 346931619048. Its totient is φ = 56564192256.

The previous prime is 144129921421. The next prime is 144129921443. The reversal of 144129921440 is 44129921441.

It can be written as a sum of positive squares in 4 ways, for example, as 93858900496 + 50271020944 = 306364^2 + 224212^2 .

It is not an unprimeable number, because it can be changed into a prime (144129921443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8489747 + ... + 8506706.

Almost surely, 2144129921440 is an apocalyptic number.

144129921440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144129921440 is an abundant number, since it is smaller than the sum of its proper divisors (202801697608).

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

144129921440 is a wasteful number, since it uses less digits than its factorization.

144129921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996521 (or 16996513 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

Subtracting from 144129921440 its reverse (44129921441), we obtain a palindrome (99999999999).

The spelling of 144129921440 in words is "one hundred forty-four billion, one hundred twenty-nine million, nine hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 16996453 33992906 67985812 84982265 135971624 169964530 271943248 339929060 543886496 679858120 900812009 1359716240 1801624018 2719432480 3603248036 4504060045 7206496072 9008120090 14412992144 18016240180 28825984288 36032480360 72064960720 144129921440