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3142424000000 = 2956392803
BaseRepresentation
bin101101101110100111000…
…100001111011000000000
3102010102010221011010002002
4231232213010033120000
5402441141021000000
610403335404043132
7443014124165555
oct55564704173000
912112127133062
103142424000000
1110017704749aa
124290335334a8
1319a43866180c
14ac146430a2c
1556b1d17c8d5
hex2dba710f600

3142424000000 has 140 divisors (see below), whose sum is σ = 7848307587252. Its totient is φ = 1256966400000.

The previous prime is 3142423999997. The next prime is 3142424000069. The reversal of 3142424000000 is 4242413.

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

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 7803599 + ... + 8196401.

Almost surely, 23142424000000 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 3142424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924153793626).

3142424000000 is an abundant number, since it is smaller than the sum of its proper divisors (4705883587252).

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

3142424000000 is an frugal number, since it uses more digits than its factorization.

3142424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392851 (or 392810 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3142424000000 its reverse (4242413), we get a palindrome (3142428242413).

The spelling of 3142424000000 in words is "three trillion, one hundred forty-two billion, four hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 392803 400000 500000 785606 800000 1000000 1571212 1600000 1964015 2000000 3142424 3928030 4000000 6284848 7856060 8000000 9820075 12569696 15712120 19640150 25139392 31424240 39280300 49100375 50278784 62848480 78560600 98200750 100557568 125696960 157121200 196401500 201115136 245501875 251393920 314242400 392803000 491003750 502787840 628484800 785606000 982007500 1005575680 1227509375 1256969600 1571212000 1964015000 2455018750 2513939200 3142424000 3928030000 4910037500 5027878400 6137546875 6284848000 7856060000 9820075000 12275093750 12569696000 15712120000 19640150000 24550187500 25139392000 31424240000 39280300000 49100375000 62848480000 78560600000 98200750000 125696960000 157121200000 196401500000 314242400000 392803000000 628484800000 785606000000 1571212000000 3142424000000