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42300148900 = 225213121572
BaseRepresentation
bin100111011001010010…
…010000110010100100
311001011222012012121111
4213121102100302210
51143112314231100
631233222554404
73025144222162
oct473122206244
9131158165544
1042300148900
1116a37370a49
128246298a04
133cb177a409
142093c78232
1511788d76ba
hex9d9490ca4

42300148900 has 81 divisors (see below), whose sum is σ = 93090276867. Its totient is φ = 16683950400.

The previous prime is 42300148859. The next prime is 42300148903. The reversal of 42300148900 is 984100324.

The square root of 42300148900 is 205670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5115968676 + 37184180224 = 71526^2 + 192832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42300148903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269427622 + ... + 269427778.

Almost surely, 242300148900 is an apocalyptic number.

42300148900 is the 205670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42300148900

42300148900 is an abundant number, since it is smaller than the sum of its proper divisors (50790127967).

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

42300148900 is a wasteful number, since it uses less digits than its factorization.

42300148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 42300148900 in words is "forty-two billion, three hundred million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 157 262 314 524 628 655 785 1310 1570 2620 3140 3275 3925 6550 7850 13100 15700 17161 20567 24649 34322 41134 49298 68644 82268 85805 98596 102835 123245 171610 205670 246490 343220 411340 429025 492980 514175 616225 858050 1028350 1232450 1716100 2056700 2464900 2694277 3229019 5388554 6458038 10777108 12916076 13471385 16145095 26942770 32290190 53885540 64580380 67356925 80725475 134713850 161450950 269427700 322901900 423001489 846002978 1692005956 2115007445 4230014890 8460029780 10575037225 21150074450 42300148900