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144069043712 = 2911197318443
BaseRepresentation
bin1000011000101100101…
…1110010011000000000
3111202212102022201100212
42012023023302120000
54330023133344322
6150103455333252
713260110444336
oct2061313623000
9452772281325
10144069043712
1156110245990
1223b08521228
131077c8a8b79
146d89bd5b56
153b330840e2
hex218b2f2600

144069043712 has 160 divisors (see below), whose sum is σ = 335099445120. Its totient is φ = 61186129920.

The previous prime is 144069043709. The next prime is 144069043721. The reversal of 144069043712 is 217340960441.

It is a self number, because there is not a number n which added to its sum of digits gives 144069043712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7802363 + ... + 7820805.

It is an arithmetic number, because the mean of its divisors is an integer number (2094371532).

Almost surely, 2144069043712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144069043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167549722560).

144069043712 is an abundant number, since it is smaller than the sum of its proper divisors (191030401408).

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

144069043712 is a wasteful number, since it uses less digits than its factorization.

144069043712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18564 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 144069043712 in words is "one hundred forty-four billion, sixty-nine million, forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 73 76 88 128 146 152 176 209 256 292 304 352 418 512 584 608 704 803 836 1168 1216 1387 1408 1606 1672 2336 2432 2774 2816 3212 3344 4672 4864 5548 5632 6424 6688 9344 9728 11096 12848 13376 15257 18443 18688 22192 25696 26752 30514 36886 37376 44384 51392 53504 61028 73772 88768 102784 107008 122056 147544 177536 202873 205568 244112 295088 350417 355072 405746 411136 488224 590176 700834 710144 811492 976448 1180352 1346339 1401668 1622984 1952896 2360704 2692678 2803336 3245968 3854587 3905792 4721408 5385356 5606672 6491936 7709174 7811584 9442816 10770712 11213344 12983872 14809729 15418348 21541424 22426688 25580441 25967744 29619458 30836696 43082848 44853376 51160882 51935488 59238916 61673392 86165696 89706752 102321764 103870976 118477832 123346784 172331392 179413504 204643528 236955664 246693568 281384851 344662784 409287056 473911328 493387136 562769702 689325568 818574112 947822656 986774272 1125539404 1637148224 1895645312 1973548544 2251078808 3274296448 3791290624 4502157616 6548592896 7582581248 9004315232 13097185792 18008630464 36017260928 72034521856 144069043712