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201044432320 = 26518131111161
BaseRepresentation
bin1011101100111100101…
…1101001010111000000
3201012221010120100021221
42323033023221113000
511243214333313240
6232205235524424
720345032323124
oct2731713512700
9635833510257
10201044432320
1178298382706
1232b69459714
1315c5c815474
149a32ab7584
155369ed0a4a
hex2ecf2e95c0

201044432320 has 112 divisors (see below), whose sum is σ = 482973132096. Its totient is φ = 79709184000.

The previous prime is 201044432293. The next prime is 201044432363. The reversal of 201044432320 is 23234440102.

It is a happy number.

201044432320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18007540 + ... + 18018700.

It is an arithmetic number, because the mean of its divisors is an integer number (4312260108).

Almost surely, 2201044432320 is an apocalyptic number.

201044432320 is a gapful number since it is divisible by the number (20) 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 201044432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241486566048).

201044432320 is an abundant number, since it is smaller than the sum of its proper divisors (281928699776).

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

201044432320 is a wasteful number, since it uses less digits than its factorization.

201044432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 201044432320 its reverse (23234440102), we get a palindrome (224278872422).

The spelling of 201044432320 in words is "two hundred one billion, forty-four million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 311 320 362 622 724 905 1244 1448 1555 1810 2488 2896 3110 3620 4976 5792 6220 7240 9952 11161 11584 12440 14480 19904 22322 24880 28960 44644 49760 55805 56291 57920 89288 99520 111610 112582 178576 223220 225164 281455 357152 446440 450328 562910 714304 892880 900656 1125820 1785760 1801312 2020141 2251640 3471071 3571520 3602624 4040282 4503280 6942142 8080564 9006560 10100705 13884284 16161128 17355355 18013120 20201410 27768568 32322256 34710710 40402820 55537136 64644512 69421420 80805640 111074272 129289024 138842840 161611280 222148544 277685680 323222560 555371360 628263851 646445120 1110742720 1256527702 2513055404 3141319255 5026110808 6282638510 10052221616 12565277020 20104443232 25130554040 40208886464 50261108080 100522216160 201044432320