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201044403432 = 2335490921067
BaseRepresentation
bin1011101100111100101…
…1100010010011101000
3201012221010111212200000
42323033023202103220
511243214331402212
6232205235143000
720345032142655
oct2731713422350
9635833455600
10201044403432
1178298362a34
1232b69444a60
1315c5c805282
149a32aaac2c
155369ec71dc
hex2ecf2e24e8

201044403432 has 96 divisors (see below), whose sum is σ = 564803584800. Its totient is φ = 66997969344.

The previous prime is 201044403419. The next prime is 201044403433. The reversal of 201044403432 is 234304440102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201044403396 and 201044403405.

It is not an unprimeable number, because it can be changed into a prime (201044403433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9532563 + ... + 9553629.

It is an arithmetic number, because the mean of its divisors is an integer number (5883370675).

Almost surely, 2201044403432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282401792400).

201044403432 is an abundant number, since it is smaller than the sum of its proper divisors (363759181368).

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

201044403432 is a wasteful number, since it uses less digits than its factorization.

201044403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25997 (or 25981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 201044403432 its reverse (234304440102), we get a palindrome (435348843534).

The spelling of 201044403432 in words is "two hundred one billion, forty-four million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4909 9818 14727 19636 21067 29454 39272 42134 44181 58908 63201 84268 88362 117816 126402 132543 168536 176724 189603 252804 265086 353448 379206 397629 505608 530172 568809 758412 795258 1060344 1137618 1192887 1516824 1590516 1706427 2275236 2385774 3181032 3412854 4550472 4771548 5119281 6825708 9543096 10238562 13651416 20477124 40954248 103417903 206835806 310253709 413671612 620507418 827343224 930761127 1241014836 1861522254 2482029672 2792283381 3723044508 5584566762 7446089016 8376850143 11169133524 16753700286 22338267048 25130550429 33507400572 50261100858 67014801144 100522201716 201044403432