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2361140000000 = 2857118057
BaseRepresentation
bin100010010110111110111…
…010010011010100000000
322100201111220110200110122
4202112332322103110000
5302141103320000000
65004405344315412
7332405151566315
oct42267672232400
98321456420418
102361140000000
11830398a80001
12321731012b68
13141868067672
14823cba36d0c
1541643027085
hex225bee93500

2361140000000 has 144 divisors (see below), whose sum is σ = 5891355816528. Its totient is φ = 944448000000.

The previous prime is 2361139999973. The next prime is 2361140000047. The reversal of 2361140000000 is 411632.

It can be written as a sum of positive squares in 8 ways, for example, as 2195992044544 + 165147955456 = 1481888^2 + 406384^2 .

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 15 ways as a sum of consecutive naturals, for example, 19940972 + ... + 20059028.

Almost surely, 22361140000000 is an apocalyptic number.

2361140000000 is a gapful number since it is divisible by the number (20) 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 2361140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945677908264).

2361140000000 is an abundant number, since it is smaller than the sum of its proper divisors (3530215816528).

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

2361140000000 is an frugal number, since it uses more digits than its factorization.

2361140000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118108 (or 118064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2361140000000 its reverse (411632), we get a palindrome (2361140411632).

The spelling of 2361140000000 in words is "two trillion, three hundred sixty-one billion, one hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 118057 125000 156250 160000 200000 236114 250000 312500 400000 472228 500000 590285 625000 800000 944456 1000000 1180570 1250000 1888912 2000000 2361140 2500000 2951425 3777824 4000000 4722280 5000000 5902850 7555648 9444560 10000000 11805700 14757125 15111296 18889120 20000000 23611400 29514250 30222592 37778240 47222800 59028500 73785625 75556480 94445600 118057000 147571250 151112960 188891200 236114000 295142500 368928125 377782400 472228000 590285000 737856250 755564800 944456000 1180570000 1475712500 1844640625 1888912000 2361140000 2951425000 3689281250 3777824000 4722280000 5902850000 7378562500 9223203125 9444560000 11805700000 14757125000 18446406250 18889120000 23611400000 29514250000 36892812500 47222800000 59028500000 73785625000 94445600000 118057000000 147571250000 236114000000 295142500000 472228000000 590285000000 1180570000000 2361140000000