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14240366431740 = 22325401197289643
BaseRepresentation
bin1100111100111001011111…
…1110111000110111111100
31212102100212121202211121100
43033032113332320313330
53331303232301303430
650141533425533100
72666555361330351
oct317162776706774
955370777684540
1014240366431740
1145a033a672479
12171ba65aa4190
137c3b26212a97
14373347664628
1519a6580db960
hexcf397fb8dfc

14240366431740 has 72 divisors (see below), whose sum is σ = 43303498540848. Its totient is φ = 3787961126400.

The previous prime is 14240366431723. The next prime is 14240366431741. The reversal of 14240366431740 is 4713466304241.

14240366431740 is a `hidden beast` number, since 1 + 4 + 240 + 36 + 64 + 317 + 4 + 0 = 666.

It is a super-2 number, since 2×142403664317402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240366431741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98572642 + ... + 98717001.

It is an arithmetic number, because the mean of its divisors is an integer number (601437479734).

Almost surely, 214240366431740 is an apocalyptic number.

14240366431740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240366431740 is an abundant number, since it is smaller than the sum of its proper divisors (29063132109108).

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

14240366431740 is a wasteful number, since it uses less digits than its factorization.

14240366431740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197290059 (or 197290054 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 14240366431740 in words is "fourteen trillion, two hundred forty billion, three hundred sixty-six million, four hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 12030 14436 18045 24060 36090 72180 197289643 394579286 591868929 789158572 986448215 1183737858 1775606787 1972896430 2367475716 2959344645 3551213574 3945792860 5918689290 7102427148 8878033935 11837378580 17756067870 35512135740 79113146843 158226293686 237339440529 316452587372 395565734215 474678881058 712018321587 791131468430 949357762116 1186697202645 1424036643174 1582262936860 2373394405290 2848073286348 3560091607935 4746788810580 7120183215870 14240366431740