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140034132300 = 223521740168473
BaseRepresentation
bin1000001001101010101…
…1110100100101001100
3111101110012220222110110
42002122223310211030
54243242214213200
6144155241240020
713055114325246
oct2023253644514
9441405828413
10140034132300
115442a687257
1223181193010
1310288982b1a
146ac5d95096
153998c14b50
hex209aaf494c

140034132300 has 144 divisors (see below), whose sum is σ = 430074785952. Its totient is φ = 35057664000.

The previous prime is 140034132289. The next prime is 140034132319. The reversal of 140034132300 is 3231430041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2010864 + ... + 2079336.

It is an arithmetic number, because the mean of its divisors is an integer number (2986630458).

Almost surely, 2140034132300 is an apocalyptic number.

140034132300 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 140034132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215037392976).

140034132300 is an abundant number, since it is smaller than the sum of its proper divisors (290040653652).

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

140034132300 is a wasteful number, since it uses less digits than its factorization.

140034132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68908 (or 68901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 140034132300 its reverse (3231430041), we get a palindrome (143265562341).

The spelling of 140034132300 in words is "one hundred forty billion, thirty-four million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 401 425 510 802 850 1020 1203 1275 1604 1700 2005 2406 2550 4010 4812 5100 6015 6817 8020 10025 12030 13634 20050 20451 24060 27268 30075 34085 40100 40902 60150 68170 68473 81804 102255 120300 136340 136946 170425 204510 205419 273892 340850 342365 409020 410838 511275 681700 684730 821676 1022550 1027095 1164041 1369460 1711825 2045100 2054190 2328082 3423650 3492123 4108380 4656164 5135475 5820205 6847300 6984246 10270950 11640410 13968492 17460615 20541900 23280820 27457673 29101025 34921230 54915346 58202050 69842460 82373019 87303075 109830692 116404100 137288365 164746038 174606150 274576730 329492076 349212300 411865095 466780441 549153460 686441825 823730190 933560882 1372883650 1400341323 1647460380 1867121764 2059325475 2333902205 2745767300 2800682646 4118650950 4667804410 5601365292 7001706615 8237301900 9335608820 11669511025 14003413230 23339022050 28006826460 35008533075 46678044100 70017066150 140034132300