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15342114000 = 2435312831993
BaseRepresentation
bin11100100100111011…
…00001010011010000
31110121012220010212110
432102131201103100
5222410040122000
611014214425320
71052122550223
oct162235412320
943535803773
1015342114000
116563250364
122b82062240
1315a66a0985
14a5783b5ba
155ebd91850
hex3927614d0

15342114000 has 160 divisors (see below), whose sum is σ = 49526365824. Its totient is φ = 4085990400.

The previous prime is 15342113971. The next prime is 15342114013. The reversal of 15342114000 is 41124351.

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, 7697004 + ... + 7698996.

Almost surely, 215342114000 is an apocalyptic number.

15342114000 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 15342114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763182912).

15342114000 is an abundant number, since it is smaller than the sum of its proper divisors (34184251824).

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

15342114000 is a wasteful number, since it uses less digits than its factorization.

15342114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 15342114000 its reverse (41124351), we get a palindrome (15383238351).

The spelling of 15342114000 in words is "fifteen billion, three hundred forty-two million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1283 1500 1993 2000 2566 3000 3849 3986 5132 5979 6000 6415 7698 7972 9965 10264 11958 12830 15396 15944 19245 19930 20528 23916 25660 29895 30792 31888 32075 38490 39860 47832 49825 51320 59790 61584 64150 76980 79720 95664 96225 99650 102640 119580 128300 149475 153960 159440 160375 192450 199300 239160 249125 256600 298950 307920 320750 384900 398600 478320 481125 498250 513200 597900 641500 747375 769800 797200 962250 996500 1195800 1283000 1494750 1539600 1924500 1993000 2391600 2557019 2566000 2989500 3849000 3986000 5114038 5979000 7671057 7698000 10228076 11958000 12785095 15342114 20456152 25570190 30684228 38355285 40912304 51140380 61368456 63925475 76710570 102280760 122736912 127850950 153421140 191776425 204561520 255701900 306842280 319627375 383552850 511403800 613684560 639254750 767105700 958882125 1022807600 1278509500 1534211400 1917764250 2557019000 3068422800 3835528500 5114038000 7671057000 15342114000