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20442300000 = 2535568141
BaseRepresentation
bin10011000010011101…
…001011111001100000
31221202122210102210020
4103002131023321200
5313331212100000
613220245233440
71322402453163
oct230235137140
957678712706
1020442300000
118740166611
123b66102880
131c0a209905
14dbcd3bada
157e99d7ba0
hex4c274be60

20442300000 has 144 divisors (see below), whose sum is σ = 67072988304. Its totient is φ = 5451200000.

The previous prime is 20442299971. The next prime is 20442300007. The reversal of 20442300000 is 324402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265930 + ... + 334070.

It is an arithmetic number, because the mean of its divisors is an integer number (465784641).

Almost surely, 220442300000 is an apocalyptic number.

20442300000 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 20442300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33536494152).

20442300000 is an abundant number, since it is smaller than the sum of its proper divisors (46630688304).

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

20442300000 is an frugal number, since it uses more digits than its factorization.

20442300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68179 (or 68151 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20442300000 its reverse (324402), we get a palindrome (20442624402).

The spelling of 20442300000 in words is "twenty billion, four hundred forty-two million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 68141 75000 100000 136282 150000 204423 272564 300000 340705 408846 545128 681410 817692 1022115 1090256 1362820 1635384 1703525 2044230 2180512 2725640 3270768 3407050 4088460 5110575 5451280 6541536 6814100 8176920 8517625 10221150 10902560 13628200 16353840 17035250 20442300 25552875 27256400 32707680 34070500 40884600 42588125 51105750 54512800 68141000 81769200 85176250 102211500 127764375 136282000 163538400 170352500 204423000 212940625 255528750 272564000 340705000 408846000 425881250 511057500 638821875 681410000 817692000 851762500 1022115000 1277643750 1362820000 1703525000 2044230000 2555287500 3407050000 4088460000 5110575000 6814100000 10221150000 20442300000