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142052150000 = 24552997967
BaseRepresentation
bin1000010001001011110…
…1111100101011110000
3111120122212011220022202
42010102331330223300
54311410322300000
6145131410322332
713156120231625
oct2042275745360
9446585156282
10142052150000
115527580a882
1223644b893a8
131051aa98237
146c37dc034c
153a65e85dd5
hex2112f7caf0

142052150000 has 120 divisors (see below), whose sum is σ = 355876597440. Its totient is φ = 54860960000.

The previous prime is 142052149979. The next prime is 142052150003. The reversal of 142052150000 is 51250241.

142052150000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142052150003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1401017 + ... + 1498983.

It is an arithmetic number, because the mean of its divisors is an integer number (2965638312).

Almost surely, 2142052150000 is an apocalyptic number.

142052150000 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 142052150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177938298720).

142052150000 is an abundant number, since it is smaller than the sum of its proper divisors (213824447440).

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

142052150000 is an frugal number, since it uses more digits than its factorization.

142052150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98029 (or 98003 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 142052150000 in words is "one hundred forty-two billion, fifty-two million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 5000 5800 6250 7250 10000 11600 12500 14500 18125 25000 29000 36250 50000 58000 72500 90625 97967 145000 181250 195934 290000 362500 391868 489835 725000 783736 979670 1450000 1567472 1959340 2449175 2841043 3918680 4898350 5682086 7837360 9796700 11364172 12245875 14205215 19593400 22728344 24491750 28410430 39186800 45456688 48983500 56820860 61229375 71026075 97967000 113641720 122458750 142052150 195934000 227283440 244917500 284104300 306146875 355130375 489835000 568208600 612293750 710260750 979670000 1136417200 1224587500 1420521500 1775651875 2449175000 2841043000 3551303750 4898350000 5682086000 7102607500 8878259375 14205215000 17756518750 28410430000 35513037500 71026075000 142052150000