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14640670000 = 245411133097
BaseRepresentation
bin11011010001010011…
…01110010100110000
31101210100000002121001
431220221232110300
5214441002420000
610420440211344
71025544433045
oct155051562460
941710002531
1014640670000
116233305080
122a07169b54
1314c4277258
149cc6091cc
155aa4d646a
hex368a6e530

14640670000 has 100 divisors (see below), whose sum is σ = 38669228136. Its totient is φ = 5323840000.

The previous prime is 14640669997. The next prime is 14640670007. The reversal of 14640670000 is 7604641.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (14640670007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43452 + ... + 176548.

Almost surely, 214640670000 is an apocalyptic number.

14640670000 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 14640670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334614068).

14640670000 is an abundant number, since it is smaller than the sum of its proper divisors (24028558136).

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

14640670000 is a wasteful number, since it uses less digits than its factorization.

14640670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133136 (or 133115 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 14640670000 in words is "fourteen billion, six hundred forty million, six hundred seventy thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 133097 266194 532388 665485 1064776 1330970 1464067 2129552 2661940 2928134 3327425 5323880 5856268 6654850 7320335 10647760 11712536 13309700 14640670 16637125 23425072 26619400 29281340 33274250 36601675 53238800 58562680 66548500 73203350 83185625 117125360 133097000 146406700 166371250 183008375 266194000 292813400 332742500 366016750 585626800 665485000 732033500 915041875 1330970000 1464067000 1830083750 2928134000 3660167500 7320335000 14640670000