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15432142000 = 2453111936919
BaseRepresentation
bin11100101111101001…
…11100110010110000
31110211111022001001211
432113310330302300
5223101112021000
611031152205504
71054265020432
oct162764746260
943744261054
1015432142000
1165aa050770
122ba8239894
1315bc232592
14a65794652
15604c267ba
hex397d3ccb0

15432142000 has 160 divisors (see below), whose sum is σ = 42850828800. Its totient is φ = 5316192000.

The previous prime is 15432141997. The next prime is 15432142039. The reversal of 15432142000 is 24123451.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399541 + ... + 436459.

It is an arithmetic number, because the mean of its divisors is an integer number (267817680).

Almost surely, 215432142000 is an apocalyptic number.

15432142000 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 15432142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425414400).

15432142000 is an abundant number, since it is smaller than the sum of its proper divisors (27418686800).

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

15432142000 is a wasteful number, since it uses less digits than its factorization.

15432142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36972 (or 36956 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 15432142000 its reverse (24123451), we get a palindrome (15456265451).

The spelling of 15432142000 in words is "fifteen billion, four hundred thirty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 275 304 380 400 418 440 475 500 550 760 836 880 950 1000 1045 1100 1375 1520 1672 1900 2000 2090 2200 2375 2750 3344 3800 4180 4400 4750 5225 5500 7600 8360 9500 10450 11000 16720 19000 20900 22000 26125 36919 38000 41800 52250 73838 83600 104500 147676 184595 209000 295352 369190 406109 418000 590704 701461 738380 812218 922975 1402922 1476760 1624436 1845950 2030545 2805844 2953520 3248872 3507305 3691900 4061090 4614875 5611688 6497744 7014610 7383800 7716071 8122180 9229750 10152725 11223376 14029220 14767600 15432142 16244360 17536525 18459500 20305450 28058440 30864284 32488720 35073050 36919000 38580355 40610900 50763625 56116880 61728568 70146100 73838000 77160710 81221800 87682625 101527250 123457136 140292200 154321420 162443600 175365250 192901775 203054500 280584400 308642840 350730500 385803550 406109000 617285680 701461000 771607100 812218000 964508875 1402922000 1543214200 1929017750 3086428400 3858035500 7716071000 15432142000