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14379547000 = 2353713158017
BaseRepresentation
bin11010110010001011…
…00111100101111000
31101010010122200011211
431121011213211320
5213422131001000
610334511332504
71016224063360
oct153105474570
941103580154
1014379547000
116109974545
122953821134
13148213bac0
149a5a759a0
155926067ba
hex359167978

14379547000 has 128 divisors (see below), whose sum is σ = 41413357440. Its totient is φ = 4550860800.

The previous prime is 14379546983. The next prime is 14379547003. The reversal of 14379547000 is 74597341.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379547003) 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, 11992 + ... + 170008.

It is an arithmetic number, because the mean of its divisors is an integer number (323541855).

Almost surely, 214379547000 is an apocalyptic number.

14379547000 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 14379547000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706678720).

14379547000 is an abundant number, since it is smaller than the sum of its proper divisors (27033810440).

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

14379547000 is a wasteful number, since it uses less digits than its factorization.

14379547000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158058 (or 158044 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 14379547000 in words is "fourteen billion, three hundred seventy-nine million, five hundred forty-seven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 158017 316034 632068 790085 1106119 1264136 1580170 2054221 2212238 3160340 3950425 4108442 4424476 5530595 6320680 7900850 8216884 8848952 10271105 11061190 14379547 15801700 16433768 19752125 20542210 22122380 27652975 28759094 31603400 39504250 41084420 44244760 51355525 55305950 57518188 71897735 79008500 82168840 102711050 110611900 115036376 138264875 143795470 158017000 205422100 221223800 256777625 276529750 287590940 359488675 410844200 513555250 553059500 575181880 718977350 1027110500 1106119000 1437954700 1797443375 2054221000 2875909400 3594886750 7189773500 14379547000