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201000200440432 = 242326316267127669
BaseRepresentation
bin101101101100111100000001…
…100011000000101001110000
3222100200102122120012220122011
4231230330001203000221300
5202321141402303043212
61551254114540052304
760223533225634141
oct5554740143005160
9870612576186564
10201000200440432
11590547850a2098
121a663228534094
138820311c37313
14378c666925ac8
1518387231ea4a7
hexb6cf018c0a70

201000200440432 has 80 divisors (see below), whose sum is σ = 407943374952960. Its totient is φ = 95758378189056.

The previous prime is 201000200440427. The next prime is 201000200440489. The reversal of 201000200440432 is 234044002000102.

It is a happy number.

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, 1574321494 + ... + 1574449162.

It is an arithmetic number, because the mean of its divisors is an integer number (5099292186912).

Almost surely, 2201000200440432 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 201000200440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203971687476480).

201000200440432 is an abundant number, since it is smaller than the sum of its proper divisors (206943174512528).

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

201000200440432 is a wasteful number, since it uses less digits than its factorization.

201000200440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144230 (or 144224 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201000200440432 its reverse (234044002000102), we get a palindrome (435044202440534).

The spelling of 201000200440432 in words is "two hundred one trillion, two hundred million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 263 368 526 1052 2104 4208 6049 12098 16267 24196 32534 48392 65068 96784 127669 130136 255338 260272 374141 510676 748282 1021352 1496564 2042704 2936387 2993128 4278221 5872774 5986256 8556442 11745548 17112884 23491096 33576947 34225768 46982192 67153894 68451536 98399083 134307788 196798166 268615576 393596332 537231152 772269781 787192664 1544539562 1574385328 2076791623 3089079124 4153583246 6178158248 8307166492 12356316496 16614332984 33228665968 47766207329 95532414658 191064829316 382129658632 546196196849 764259317264 1092392393698 2184784787396 4369569574792 8739139149584 12562512527527 25125025055054 50250050110108 100500100220216 201000200440432