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14191875300064 = 2571110355919317
BaseRepresentation
bin1100111010000100110110…
…1011111001101011100000
31212020201201012011010012111
43032201031223321223200
53330004430034100224
650103354004405104
72663220620446540
oct316411553715340
955221635133174
1014191875300064
114581816697540
1217125923a6794
137bc398c4ba67
14370c674a5320
1519926ae43d94
hexce84daf9ae0

14191875300064 has 96 divisors (see below), whose sum is σ = 35172803667456. Its totient is φ = 5475619422720.

The previous prime is 14191875300037. The next prime is 14191875300101. The reversal of 14191875300064 is 46000357819141.

It is a junction number, because it is equal to n+sod(n) for n = 14191875299990 and 14191875300017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27705867 + ... + 28213450.

It is an arithmetic number, because the mean of its divisors is an integer number (366383371536).

Almost surely, 214191875300064 is an apocalyptic number.

14191875300064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14191875300064 is an abundant number, since it is smaller than the sum of its proper divisors (20980928367392).

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

14191875300064 is a wasteful number, since it uses less digits than its factorization.

14191875300064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55919448 (or 55919440 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 14191875300064 in words is "fourteen trillion, one hundred ninety-one billion, eight hundred seventy-five million, three hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 103 112 154 176 206 224 308 352 412 616 721 824 1133 1232 1442 1648 2266 2464 2884 3296 4532 5768 7931 9064 11536 15862 18128 23072 31724 36256 63448 126896 253792 55919317 111838634 223677268 391435219 447354536 615112487 782870438 894709072 1230224974 1565740876 1789418144 2460449948 3131481752 4305787409 4920899896 5759689651 6262963504 8611574818 9841799792 11519379302 12525927008 17223149636 19683599584 23038758604 34446299272 40317827557 46077517208 63356586161 68892598544 80635655114 92155034416 126713172322 137785197088 161271310228 184310068832 253426344644 322542620456 443496103127 506852689288 645085240912 886992206254 1013705378576 1290170481824 1773984412508 2027410757152 3547968825016 7095937650032 14191875300064