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14010421014304 = 2511213278337989
BaseRepresentation
bin1100101111100000111000…
…1010101110111100100000
31211121101100022220022221021
43023320032022232330200
53314021320234424204
645444144253335224
72644135202456341
oct313701612567440
954541308808837
1014010421014304
114511871458a00
1216a3391797514
137a823bc2c9c0
143661724a60c8
1519469ac21154
hexcbe0e2aef20

14010421014304 has 72 divisors (see below), whose sum is σ = 32650716254940. Its totient is φ = 5878498306560.

The previous prime is 14010421014301. The next prime is 14010421014379. The reversal of 14010421014304 is 40341012401041.

14010421014304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13587333210000 + 423087804304 = 3686100^2 + 650452^2 .

It is a super-2 number, since 2×140104210143042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14010421014301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139118659 + ... + 139219330.

Almost surely, 214010421014304 is an apocalyptic number.

It is an amenable number.

14010421014304 is an abundant number, since it is smaller than the sum of its proper divisors (18640295240636).

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

14010421014304 is a wasteful number, since it uses less digits than its factorization.

14010421014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278338034 (or 278338015 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14010421014304 its reverse (40341012401041), we get a palindrome (54351433415345).

The spelling of 14010421014304 in words is "fourteen trillion, ten billion, four hundred twenty-one million, fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 50336 278337989 556675978 1113351956 2226703912 3061717879 3618393857 4453407824 6123435758 7236787714 8906815648 12246871516 14473575428 24493743032 28947150856 33678896669 39802332427 48987486064 57894301712 67357793338 79604664854 97974972128 115788603424 134715586676 159209329708 269431173352 318418659416 437825656697 538862346704 636837318832 875651313394 1077724693408 1273674637664 1751302626788 3502605253576 7005210507152 14010421014304