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321041123364016 = 24112569701941521
BaseRepresentation
bin100100011111111000011011…
…0000111011100110010110000
31120002201020020212200212020001
41020333300312013130302300
5314034414210040122031
63054444131145155344
7124423312214214406
oct11077606607346260
91502636225625201
10321041123364016
1193325859683500
123000bb0678bb54
1310a1a0816a7c73
14593c68a969476
15271b03a391861
hex123fc361dccb0

321041123364016 has 120 divisors (see below), whose sum is σ = 685020497288400. Its totient is φ = 145647058022400.

The previous prime is 321041123364007. The next prime is 321041123364029. The reversal of 321041123364016 is 610463321140123.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7731997336 + ... + 7732038856.

It is an arithmetic number, because the mean of its divisors is an integer number (5708504144070).

Almost surely, 2321041123364016 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 321041123364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342510248644200).

321041123364016 is an abundant number, since it is smaller than the sum of its proper divisors (363979373924384).

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

321041123364016 is a wasteful number, since it uses less digits than its factorization.

321041123364016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49139 (or 49122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 321041123364016 in words is "three hundred twenty-one trillion, forty-one billion, one hundred twenty-three million, three hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 569 968 1138 1936 2276 4552 6259 7019 9104 12518 14038 25036 28076 41521 50072 56152 68849 77209 83042 100144 112304 137698 154418 166084 275396 308836 332168 456731 550792 617672 664336 849299 913462 1101584 1235344 1698598 1826924 3397196 3653848 3993811 5024041 6794392 7307696 7987622 10048082 13588784 15975244 20096164 23625449 31950488 40192328 43931921 47250898 63900976 80384656 87863842 94501796 175727684 189003592 259879939 291435899 351455368 378007184 483251131 519759878 582871798 702910736 966502262 1039519756 1165743596 1933004524 2079039512 2331487192 2858679329 3205794889 3866009048 4158079024 4662974384 5717358658 6411589778 7732018096 11434717316 12823179556 22869434632 25646359112 35263743779 45738869264 51292718224 70527487558 141054975116 165827026531 282109950232 331654053062 564219900464 663308106124 1326616212248 1824097291841 2653232424496 3648194583682 7296389167364 14592778334728 20065070210251 29185556669456 40130140420502 80260280841004 160520561682008 321041123364016