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32302142000 = 2453171675689
BaseRepresentation
bin11110000101010110…
…111001001000110000
310002101012011211111122
4132011112321020300
51012123322021000
622501151001412
72222322451052
oct360526711060
9102335154448
1032302142000
1112776798427
126315b09268
13307a30a1bb
1417c60b38d2
15c90cc0085
hex7855b9230

32302142000 has 160 divisors (see below), whose sum is σ = 83210924160. Its totient is φ = 12085862400.

The previous prime is 32302141997. The next prime is 32302142021. The reversal of 32302142000 is 24120323.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 32302142000.

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, 5675156 + ... + 5680844.

It is an arithmetic number, because the mean of its divisors is an integer number (520068276).

Almost surely, 232302142000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32302142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41605462080).

32302142000 is an abundant number, since it is smaller than the sum of its proper divisors (50908782160).

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

32302142000 is a wasteful number, since it uses less digits than its factorization.

32302142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 32302142000 its reverse (24120323), we get a palindrome (32326262323).

The spelling of 32302142000 in words is "thirty-two billion, three hundred two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 167 170 200 250 272 334 340 400 425 500 668 680 835 850 1000 1336 1360 1670 1700 2000 2125 2672 2839 3340 3400 4175 4250 5678 5689 6680 6800 8350 8500 11356 11378 13360 14195 16700 17000 20875 22712 22756 28390 28445 33400 34000 41750 45424 45512 56780 56890 66800 70975 83500 91024 96713 113560 113780 141950 142225 167000 193426 227120 227560 283900 284450 334000 354875 386852 455120 483565 567800 568900 709750 711125 773704 950063 967130 1135600 1137800 1419500 1422250 1547408 1900126 1934260 2275600 2417825 2839000 2844500 3800252 3868520 4750315 4835650 5678000 5689000 7600504 7737040 9500630 9671300 11378000 12089125 15201008 16151071 19001260 19342600 23751575 24178250 32302142 38002520 38685200 47503150 48356500 64604284 76005040 80755355 95006300 96713000 118757875 129208568 161510710 190012600 193426000 237515750 258417136 323021420 380025200 403776775 475031500 646042840 807553550 950063000 1292085680 1615107100 1900126000 2018883875 3230214200 4037767750 6460428400 8075535500 16151071000 32302142000