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20242312400000 = 275550605781
BaseRepresentation
bin1001001101001000001111…
…10101110000110010000000
32122200010221112222211010002
410212210013311300302000
510123122223433300000
6111015105005455132
74156313241314435
oct446440765606200
978603845884102
1020242312400000
1164a47976a7659
12232b1195714a8
13b3aac377c692
144dda39a85b8c
15251837d128d5
hex126907d70c80

20242312400000 has 96 divisors (see below), whose sum is σ = 50404877045460. Its totient is φ = 8096924800000.

The previous prime is 20242312399993. The next prime is 20242312400029. The reversal of 20242312400000 is 421324202.

It can be written as a sum of positive squares in 6 ways, for example, as 4904311426624 + 15338000973376 = 2214568^2 + 3916376^2 .

It is a super-2 number, since 2×202423124000002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24902891 + ... + 25702890.

Almost surely, 220242312400000 is an apocalyptic number.

20242312400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242312400000 is an abundant number, since it is smaller than the sum of its proper divisors (30162564645460).

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

20242312400000 is an frugal number, since it uses more digits than its factorization.

20242312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50605820 (or 50605788 counting only the distinct ones).

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

Adding to 20242312400000 its reverse (421324202), we get a palindrome (20242733724202).

The spelling of 20242312400000 in words is "twenty trillion, two hundred forty-two billion, three hundred twelve million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 50605781 101211562 202423124 253028905 404846248 506057810 809692496 1012115620 1265144525 1619384992 2024231240 2530289050 3238769984 4048462480 5060578100 6325722625 6477539968 8096924960 10121156200 12651445250 16193849920 20242312400 25302890500 31628613125 32387699840 40484624800 50605781000 63257226250 80969249600 101211562000 126514452500 158143065625 161938499200 202423124000 253028905000 316286131250 404846248000 506057810000 632572262500 809692496000 1012115620000 1265144525000 2024231240000 2530289050000 4048462480000 5060578100000 10121156200000 20242312400000