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142023124010000 = 245425515567351
BaseRepresentation
bin100000010010101101010101…
…110110110100010000010000
3200121212021111200222210220002
4200102231111312310100100
5122103401324221310000
61222020304503505132
741625555260445662
oct4022552566642020
9617767450883802
10142023124010000
1141286739a71aa2
1213b19048a581a8
13613295293310c
14270dd54d0a532
1511645326228d5
hex812b55db4410

142023124010000 has 100 divisors (see below), whose sum is σ = 343987038462144. Its totient is φ = 56786970000000.

The previous prime is 142023124009969. The next prime is 142023124010003. The reversal of 142023124010000 is 10421320241.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (142023124010003) 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 19 ways as a sum of consecutive naturals, for example, 22726325 + ... + 28293675.

Almost surely, 2142023124010000 is an apocalyptic number.

142023124010000 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 142023124010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171993519231072).

142023124010000 is an abundant number, since it is smaller than the sum of its proper divisors (201963914452144).

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

142023124010000 is an equidigital number, since it uses as much as digits as its factorization.

142023124010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569930 (or 5569909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142023124010000 its reverse (10421320241), we get a palindrome (142033545330241).

The spelling of 142023124010000 in words is "one hundred forty-two trillion, twenty-three billion, one hundred twenty-four million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2551 5000 5102 10000 10204 12755 20408 25510 40816 51020 63775 102040 127550 204080 255100 318875 510200 637750 1020400 1275500 1594375 2551000 3188750 5102000 5567351 6377500 11134702 12755000 22269404 25510000 27836755 44538808 55673510 89077616 111347020 139183775 222694040 278367550 445388080 556735100 695918875 1113470200 1391837750 2226940400 2783675500 3479594375 5567351000 6959188750 11134702000 13918377500 14202312401 27836755000 28404624802 55673510000 56809249604 71011562005 113618499208 142023124010 227236998416 284046248020 355057810025 568092496040 710115620050 1136184992080 1420231240100 1775289050125 2840462480200 3550578100250 5680924960400 7101156200500 8876445250625 14202312401000 17752890501250 28404624802000 35505781002500 71011562005000 142023124010000