Search a number
-
+
14240301330040 = 23517372692104051
BaseRepresentation
bin1100111100111001010000…
…0110100010111001111000
31212102100201002021022212021
43033032110012202321320
53331303114120030130
650141523142324224
72666553641064442
oct317162406427170
955370632238767
1014240301330040
1145a0306947615
12171ba48129674
137c3b1589a976
1437333cb59492
1519a65252c37a
hexcf3941a2e78

14240301330040 has 128 divisors (see below), whose sum is σ = 34971869102400. Its totient is φ = 5196767846400.

The previous prime is 14240301329951. The next prime is 14240301330041. The reversal of 14240301330040 is 4003310304241.

14240301330040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14240301329987 and 14240301330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240301330041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5716015 + ... + 7820065.

Almost surely, 214240301330040 is an apocalyptic number.

14240301330040 is a gapful number since it is divisible by the number (10) 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 14240301330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485934551200).

14240301330040 is an abundant number, since it is smaller than the sum of its proper divisors (20731567772360).

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

14240301330040 is a wasteful number, since it uses less digits than its factorization.

14240301330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104385 (or 2104381 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14240301330040 its reverse (4003310304241), we get a palindrome (18243611634281).

The spelling of 14240301330040 in words is "fourteen trillion, two hundred forty billion, three hundred one million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 269 296 340 370 538 629 680 740 1076 1258 1345 1480 2152 2516 2690 3145 4573 5032 5380 6290 9146 9953 10760 12580 18292 19906 22865 25160 36584 39812 45730 49765 79624 91460 99530 169201 182920 199060 338402 398120 676804 846005 1353608 1692010 2104051 3384020 4208102 6768040 8416204 10520255 16832408 21040510 35768867 42081020 71537734 77849887 84162040 143075468 155699774 178844335 286150936 311399548 357688670 389249435 565989719 622799096 715377340 778498870 1131979438 1323448079 1430754680 1556997740 2263958876 2646896158 2829948595 3113995480 4527917752 5293792316 5659897190 6617240395 9621825223 10587584632 11319794380 13234480790 19243650446 20941619603 22639588760 26468961580 38487300892 41883239206 48109126115 52937923160 76974601784 83766478412 96218252230 104708098015 167532956824 192436504460 209416196030 356007533251 384873008920 418832392060 712015066502 837664784120 1424030133004 1780037666255 2848060266008 3560075332510 7120150665020 14240301330040