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11421142400000 = 210553569107
BaseRepresentation
bin1010011000110011000100…
…1000101011110000000000
31111102211222001101020202002
42212030301020223300000
52444110444423300000
640142444514443132
72256102361416434
oct246146110536000
944384861336662
1011421142400000
113703752155363
1213455b15934a8
1364b017014a48
142b6b016389c4
1514c15427c8d5
hexa633122bc00

11421142400000 has 132 divisors (see below), whose sum is σ = 28537095680856. Its totient is φ = 4568455680000.

The previous prime is 11421142399993. The next prime is 11421142400009. The reversal of 11421142400000 is 424112411.

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 (11421142400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415447 + ... + 4984553.

Almost surely, 211421142400000 is an apocalyptic number.

11421142400000 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 11421142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268547840428).

11421142400000 is an abundant number, since it is smaller than the sum of its proper divisors (17115953280856).

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

11421142400000 is an frugal number, since it uses more digits than its factorization.

11421142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569152 (or 3569114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11421142400000 its reverse (424112411), we get a palindrome (11421566512411).

The spelling of 11421142400000 in words is "eleven trillion, four hundred twenty-one billion, one hundred forty-two million, four hundred thousand".

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 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 16000 20000 25000 25600 32000 40000 50000 64000 80000 100000 128000 160000 200000 320000 400000 640000 800000 1600000 3200000 3569107 7138214 14276428 17845535 28552856 35691070 57105712 71382140 89227675 114211424 142764280 178455350 228422848 285528560 356910700 446138375 456845696 571057120 713821400 892276750 913691392 1142114240 1427642800 1784553500 1827382784 2230691875 2284228480 2855285600 3569107000 3654765568 4461383750 4568456960 5710571200 7138214000 8922767500 9136913920 11153459375 11421142400 14276428000 17845535000 18273827840 22306918750 22842284800 28552856000 35691070000 44613837500 45684569600 57105712000 71382140000 89227675000 91369139200 114211424000 142764280000 178455350000 228422848000 285528560000 356910700000 456845696000 571057120000 713821400000 1142114240000 1427642800000 2284228480000 2855285600000 5710571200000 11421142400000