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144444428576 = 25731112318523
BaseRepresentation
bin1000011010000110001…
…1110001000100100000
3111210211120200020120222
42012201203301010200
54331310233203301
6150205025222212
713302316246010
oct2064143610440
9453746606528
10144444428576
1156293129108
1223bb2191968
131080c5ac4a6
146dc39cdc40
153b55ed431b
hex21a18f1120

144444428576 has 96 divisors (see below), whose sum is σ = 335800700928. Its totient is φ = 59851249920.

The previous prime is 144444428573. The next prime is 144444428621. The reversal of 144444428576 is 675824444441.

It is not an unprimeable number, because it can be changed into a prime (144444428573) 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 15 ways as a sum of consecutive naturals, for example, 7788851 + ... + 7807373.

It is an arithmetic number, because the mean of its divisors is an integer number (3497923968).

Almost surely, 2144444428576 is an apocalyptic number.

144444428576 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 144444428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167900350464).

144444428576 is an abundant number, since it is smaller than the sum of its proper divisors (191356272352).

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

144444428576 is a wasteful number, since it uses less digits than its factorization.

144444428576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19694 (or 19686 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 53.

The spelling of 144444428576 in words is "one hundred forty-four billion, four hundred forty-four million, four hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1123 1736 2246 3472 4492 6944 7861 8984 15722 17968 18523 31444 34813 35936 37046 62888 69626 74092 125776 129661 139252 148184 243691 251552 259322 278504 296368 487382 518644 557008 574213 592736 974764 1037288 1114016 1148426 1949528 2074576 2296852 3899056 4019491 4149152 4593704 7798112 8038982 9187408 16077964 18374816 20801329 32155928 41602658 64311856 83205316 128623712 145609303 166410632 291218606 332821264 582437212 644841199 665642528 1164874424 1289682398 2329748848 2579364796 4513888393 4659497696 5158729592 9027776786 10317459184 18055553572 20634918368 36111107144 72222214288 144444428576