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144304297696 = 2513267398261
BaseRepresentation
bin1000011001100100110…
…1001101011011100000
3111210110210222212011101
42012121031031123200
54331013400011241
6150143101524144
713265665202116
oct2063115153340
9453423885141
10144304297696
1156221017769
1223b73273654
13107b9557700
146dad153ab6
153b48a53e31
hex219934d6e0

144304297696 has 72 divisors (see below), whose sum is σ = 312226256664. Its totient is φ = 65607759360.

The previous prime is 144304297663. The next prime is 144304297759. The reversal of 144304297696 is 696792403441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163206 + ... + 561466.

It is an arithmetic number, because the mean of its divisors is an integer number (4336475787).

Almost surely, 2144304297696 is an apocalyptic number.

144304297696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144304297696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156113128332).

144304297696 is an abundant number, since it is smaller than the sum of its proper divisors (167921958968).

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

144304297696 is a wasteful number, since it uses less digits than its factorization.

144304297696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398364 (or 398343 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 144304297696 in words is "one hundred forty-four billion, three hundred four million, two hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 169 208 268 338 416 536 676 871 1072 1352 1742 2144 2704 3484 5408 6968 11323 13936 22646 27872 45292 90584 181168 362336 398261 796522 1593044 3186088 5177393 6372176 10354786 12744352 20709572 26683487 41419144 53366974 67306109 82838288 106733948 134612218 165676576 213467896 269224436 346885331 426935792 538448872 693770662 853871584 1076897744 1387541324 2153795488 2775082648 4509509303 5550165296 9019018606 11100330592 18038037212 36076074424 72152148848 144304297696