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4134202000000 = 27562067101
BaseRepresentation
bin111100001010010001101…
…001000100001010000000
3112122020002122102122220121
4330022101221010022000
51020213321203000000
612443120504350024
7604454244121252
oct74122151041200
915566078378817
104134202000000
11135433a283576
1256929ba75314
1323cb133c93a7
1410414c901cd2
1572817b95b1a
hex3c291a44280

4134202000000 has 112 divisors (see below), whose sum is σ = 10295005136310. Its totient is φ = 1653680000000.

The previous prime is 4134201999971. The next prime is 4134202000003. The reversal of 4134202000000 is 2024314.

It can be written as a sum of positive squares in 7 ways, for example, as 1054794729024 + 3079407270976 = 1027032^2 + 1754824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4134202000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 966450 + ... + 3033550.

Almost surely, 24134202000000 is an apocalyptic number.

4134202000000 is a gapful number since it is divisible by the number (40) 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 4134202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147502568155).

4134202000000 is an abundant number, since it is smaller than the sum of its proper divisors (6160803136310).

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

4134202000000 is an frugal number, since it uses more digits than its factorization.

4134202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067145 (or 2067108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4134202000000 its reverse (2024314), we get a palindrome (4134204024314).

The spelling of 4134202000000 in words is "four trillion, one hundred thirty-four billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 2067101 4134202 8268404 10335505 16536808 20671010 33073616 41342020 51677525 66147232 82684040 103355050 132294464 165368080 206710100 258387625 264588928 330736160 413420200 516775250 661472320 826840400 1033550500 1291938125 1322944640 1653680800 2067101000 2583876250 3307361600 4134202000 5167752500 6459690625 6614723200 8268404000 10335505000 12919381250 16536808000 20671010000 25838762500 32298453125 33073616000 41342020000 51677525000 64596906250 82684040000 103355050000 129193812500 165368080000 206710100000 258387625000 413420200000 516775250000 826840400000 1033550500000 2067101000000 4134202000000