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142730812400 = 245211143322637
BaseRepresentation
bin1000010011101101101…
…0110101101111110000
3111122102011012112010012
42010323122311233300
54314303041444100
6145323012354052
713212000613331
oct2047332655760
9448364175105
10142730812400
11555939059a0
12237b4315928
13105c8576417
146ca01a2288
153aa5841135
hex213b6b5bf0

142730812400 has 120 divisors (see below), whose sum is σ = 374362070544. Its totient is φ = 51863603200.

The previous prime is 142730812381. The next prime is 142730812447. The reversal of 142730812400 is 4218037241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6293882 + ... + 6316518.

Almost surely, 2142730812400 is an apocalyptic number.

142730812400 is a gapful number since it is divisible by the number (10) 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 142730812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187181035272).

142730812400 is an abundant number, since it is smaller than the sum of its proper divisors (231631258144).

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

142730812400 is a wasteful number, since it uses less digits than its factorization.

142730812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24099 (or 24088 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 142730812400 its reverse (4218037241), we get a palindrome (146948849641).

The spelling of 142730812400 in words is "one hundred forty-two billion, seven hundred thirty million, eight hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1433 2200 2866 4400 5732 7165 11464 14330 15763 22637 22928 28660 31526 35825 45274 57320 63052 71650 78815 90548 113185 114640 126104 143300 157630 181096 226370 249007 252208 286600 315260 362192 394075 452740 498014 565925 573200 630520 788150 905480 996028 1131850 1245035 1261040 1576300 1810960 1992056 2263700 2490070 3152600 3984112 4527400 4980140 6225175 6305200 9054800 9960280 12450350 19920560 24900700 32438821 49801400 64877642 99602800 129755284 162194105 259510568 324388210 356827031 519021136 648776420 713654062 810970525 1297552840 1427308124 1621941050 1784135155 2595105680 2854616248 3243882100 3568270310 5709232496 6487764200 7136540620 8920675775 12975528400 14273081240 17841351550 28546162480 35682703100 71365406200 142730812400