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100420144000 = 275311570569
BaseRepresentation
bin101110110000110000…
…0011100101110000000
3100121012110012212110121
41131201200130232000
53121130024102000
6114044332110024
710153335066061
oct1354140345600
9317173185417
10100420144000
113965160a550
1217566605314
139614884b67
144c08b8a568
15292b07bb1a
hex176181cb80

100420144000 has 128 divisors (see below), whose sum is σ = 272367295200. Its totient is φ = 36516352000.

The previous prime is 100420143997. The next prime is 100420144007. The reversal of 100420144000 is 441024001.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420144007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109285 + ... + 461284.

Almost surely, 2100420144000 is an apocalyptic number.

100420144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420144000 is an abundant number, since it is smaller than the sum of its proper divisors (171947151200).

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

100420144000 is an equidigital number, since it uses as much as digits as its factorization.

100420144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570609 (or 570587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100420144000 its reverse (441024001), we get a palindrome (100861168001).

The spelling of 100420144000 in words is "one hundred billion, four hundred twenty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 570569 1141138 2282276 2852845 4564552 5705690 6276259 9129104 11411380 12552518 14264225 18258208 22822760 25105036 28528450 31381295 36516416 45645520 50210072 57056900 62762590 71321125 73032832 91291040 100420144 114113800 125525180 142642250 156906475 182582080 200840288 228227600 251050360 285284500 313812950 365164160 401680576 456455200 502100720 570569000 627625900 784532375 803361152 912910400 1004201440 1141138000 1255251800 1569064750 1825820800 2008402880 2282276000 2510503600 3138129500 4016805760 4564552000 5021007200 6276259000 9129104000 10042014400 12552518000 20084028800 25105036000 50210072000 100420144000