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20443362441120 = 25325101140562173
BaseRepresentation
bin1001010010111110101110…
…10110110011011110100000
32200101100220002010010020100
410221133113112303132200
510134421001241103440
6111251315005542400
74206661402421013
oct451372726633640
980340802103210
1020443362441120
116571a88160233
122362088874a00
13b53a544a9a58
1450966d3bd37a
15256ba3550230
hex1297d75b37a0

20443362441120 has 144 divisors (see below), whose sum is σ = 70453697349672. Its totient is φ = 5397587404800.

The previous prime is 20443362441113. The next prime is 20443362441121. The reversal of 20443362441120 is 2114426334402.

20443362441120 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 3 + 624 + 4 + 1 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18785046925584 + 1658315515536 = 4334172^2 + 1287756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20443362441121) 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, 70135647 + ... + 70426526.

Almost surely, 220443362441120 is an apocalyptic number.

20443362441120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20443362441120 is an abundant number, since it is smaller than the sum of its proper divisors (50010334908552).

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

20443362441120 is a wasteful number, since it uses less digits than its factorization.

20443362441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140562295 (or 140562284 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 20443362441120 its reverse (2114426334402), we get a palindrome (22557788775522).

The spelling of 20443362441120 in words is "twenty trillion, four hundred forty-three billion, three hundred sixty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440 140562173 281124346 421686519 562248692 702810865 843373038 1124497384 1265059557 1405621730 1686746076 2108432595 2248994768 2530119114 2811243460 3373492152 4216865190 4497989536 5060238228 5622486920 6325297785 6746984304 8433730380 10120476456 11244973840 12650595570 13493968608 14196779473 16867460760 20240952912 22489947680 25301191140 28393558946 33734921520 40481905824 42590338419 50602382280 56787117892 67469843040 70983897365 85180676838 101204764560 113574235784 127771015257 141967794730 170361353676 202409529120 212951692095 227148471568 255542030514 283935589460 340722707352 425903384190 454296943136 511084061028 567871178920 638855076285 681445414704 851806768380 1022168122056 1135742357840 1277710152570 1362890829408 1703613536760 2044336244112 2271484715680 2555420305140 3407227073520 4088672488224 5110840610280 6814454147040 10221681220560 20443362441120