Search a number
-
+
402203120000 = 275411457049
BaseRepresentation
bin1011101101001010010…
…11001001000110000000
31102110011020010110110212
411312211023021012000
523042202444320000
6504434120413252
741025653053253
oct5664513110600
91373136113425
10402203120000
111456341a3030
1265b49017228
132bc09bc2b46
1415676a1309a
15a6e002ec35
hex5da52c9180

402203120000 has 160 divisors (see below), whose sum is σ = 1092285513000. Its totient is φ = 146255360000.

The previous prime is 402203119919. The next prime is 402203120041. The reversal of 402203120000 is 21302204.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 651476 + ... + 1108524.

Almost surely, 2402203120000 is an apocalyptic number.

402203120000 is a gapful number since it is divisible by the number (40) 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 402203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546142756500).

402203120000 is an abundant number, since it is smaller than the sum of its proper divisors (690082393000).

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

402203120000 is an equidigital number, since it uses as much as digits as its factorization.

402203120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457094 (or 457067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 402203120000 its reverse (21302204), we get a palindrome (402224422204).

The spelling of 402203120000 in words is "four hundred two billion, two hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 440000 457049 880000 914098 1828196 2285245 3656392 4570490 5027539 7312784 9140980 10055078 11426225 14625568 18281960 20110156 22852450 25137695 29251136 36563920 40220312 45704900 50275390 57131125 58502272 73127840 80440624 91409800 100550780 114262250 125688475 146255680 160881248 182819600 201101560 228524500 251376950 285655625 292511360 321762496 365639200 402203120 457049000 502753900 571311250 628442375 643524992 731278400 804406240 914098000 1005507800 1142622500 1256884750 1462556800 1608812480 1828196000 2011015600 2285245000 2513769500 3142211875 3217624960 3656392000 4022031200 4570490000 5027539000 6284423750 7312784000 8044062400 9140980000 10055078000 12568847500 16088124800 18281960000 20110156000 25137695000 36563920000 40220312000 50275390000 80440624000 100550780000 201101560000 402203120000