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14332505005340 = 2253141973697487
BaseRepresentation
bin1101000010010000101111…
…0111101001110100011100
31212202011200220202100012022
43100210023313221310130
53334310432240132330
650252132323155312
73006326556305354
oct320441367516434
955664626670168
1014332505005340
114626421478565
12173589ab15b38
137cc71b10a412
143779a85adb64
1519cc4c09eae5
hexd090bde9d1c

14332505005340 has 96 divisors (see below), whose sum is σ = 31151709388800. Its totient is φ = 5533334991360.

The previous prime is 14332505005331. The next prime is 14332505005361. The reversal of 14332505005340 is 4350050523341.

It is a happy number.

14332505005340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14332505005340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914315077 + ... + 1914322563.

It is an arithmetic number, because the mean of its divisors is an integer number (324496972800).

Almost surely, 214332505005340 is an apocalyptic number.

14332505005340 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 14332505005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575854694400).

14332505005340 is an abundant number, since it is smaller than the sum of its proper divisors (16819204383460).

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

14332505005340 is a wasteful number, since it uses less digits than its factorization.

14332505005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 14332505005340 its reverse (4350050523341), we get a palindrome (18682555528681).

The spelling of 14332505005340 in words is "fourteen trillion, three hundred thirty-two billion, five hundred five million, five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 419 620 838 1676 2095 4190 7369 7487 8380 12989 14738 14974 25978 29476 29948 36845 37435 51956 64945 73690 74870 129890 147380 149740 228439 232097 259780 456878 464194 913756 928388 1142195 1160485 2284390 2320970 3087611 3137053 4568780 4641940 6175222 6274106 12350444 12548212 15438055 15685265 30876110 31370530 55171703 61752220 62741060 95715941 97248643 110343406 191431882 194497286 220686812 275858515 382863764 388994572 478579705 486243215 551717030 957159410 972486430 1103434060 1710322793 1914318820 1944972860 3420645586 6841291172 8551613965 17103227930 23116943557 34206455860 46233887114 92467774228 115584717785 231169435570 462338871140 716625250267 1433250500534 2866501001068 3583126251335 7166252502670 14332505005340