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14002433110232 = 2371759379731121
BaseRepresentation
bin1100101111000011001000…
…0011010011000011011000
31211120121201122020202112022
43023300302003103003120
53313403440334011412
645440343505034012
72643433226425310
oct313606203230330
954517648222468
1014002433110232
1145094424a2396
1216a1922625908
137a7568063448
14365a1566a440
1519437e814a72
hexcbc320d30d8

14002433110232 has 128 divisors (see below), whose sum is σ = 31864755162240. Its totient is φ = 5631260098560.

The previous prime is 14002433110231. The next prime is 14002433110277. The reversal of 14002433110232 is 23201133420041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002433110231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449919632 + ... + 449950752.

It is an arithmetic number, because the mean of its divisors is an integer number (248943399705).

Almost surely, 214002433110232 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 14002433110232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932377581120).

14002433110232 is an abundant number, since it is smaller than the sum of its proper divisors (17862322052008).

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

14002433110232 is a wasteful number, since it uses less digits than its factorization.

14002433110232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32541 (or 32537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14002433110232 its reverse (23201133420041), we get a palindrome (37203566530273).

The spelling of 14002433110232 in words is "fourteen trillion, two billion, four hundred thirty-three million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 593 797 952 1186 1594 2372 3188 4151 4744 5579 6376 8302 10081 11158 13549 16604 20162 22316 27098 31121 33208 40324 44632 54196 62242 70567 80648 94843 108392 124484 141134 189686 217847 248968 282268 379372 435694 472621 529057 564536 758744 871388 945242 1058114 1742776 1890484 2116228 3308347 3703399 3780968 4232456 6616694 7406798 8034557 13233388 14813596 16069114 18454753 24803437 26466776 29627192 32138228 36909506 49606874 56241899 64276456 73819012 99213748 112483798 129183271 147638024 173624059 198427496 224967596 258366542 313730801 347248118 421658429 449935192 516733084 627461602 694496236 843316858 1033466168 1254923204 1388992472 1686633716 2196115607 2509846408 2951609003 3373267432 4392231214 5903218006 8784462428 11806436012 14708438141 17568924856 23612872024 29416876282 58833752564 102959066987 117667505128 205918133974 250043448397 411836267948 500086896794 823672535896 1000173793588 1750304138779 2000347587176 3500608277558 7001216555116 14002433110232