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201044432214 = 23319733597477
BaseRepresentation
bin1011101100111100101…
…1101001010101010110
3201012221010120100011000
42323033023221111112
511243214333312324
6232205235524130
720345032322613
oct2731713512526
9635833510130
10201044432214
117829838261a
1232b69459646
1315c5c8153c2
149a32ab750a
155369ed09c9
hex2ecf2e9556

201044432214 has 128 divisors (see below), whose sum is σ = 478113408000. Its totient is φ = 62435245824.

The previous prime is 201044432213. The next prime is 201044432221. The reversal of 201044432214 is 412234440102.

201044432214 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 443 + 2 + 214 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201044432213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26884644 + ... + 26892120.

It is an arithmetic number, because the mean of its divisors is an integer number (3735261000).

Almost surely, 2201044432214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239056704000).

201044432214 is an abundant number, since it is smaller than the sum of its proper divisors (277068975786).

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

201044432214 is a wasteful number, since it uses less digits than its factorization.

201044432214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201044432214 its reverse (412234440102), we get a palindrome (613278872316).

The spelling of 201044432214 in words is "two hundred one billion, forty-four million, four hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 114 146 171 219 342 359 438 513 657 718 1026 1077 1314 1387 1971 2154 2774 3231 3942 4161 6462 6821 7477 8322 9693 12483 13642 14954 19386 20463 22431 24966 26207 37449 40926 44862 52414 61389 67293 74898 78621 122778 134586 142063 157242 184167 201879 235863 284126 368334 403758 426189 471726 497933 545821 707589 852378 995866 1091642 1278567 1415178 1493799 1637463 2557134 2684243 2987598 3274926 3835701 4481397 4912389 5368486 7671402 8052729 8962794 9824778 10370599 13444191 14737167 16105458 20741198 24158187 26888382 29474334 31111797 48316374 51000617 62223594 72474561 93335391 102001234 144949122 153001851 186670782 195949739 280006173 306003702 391899478 459005553 560012346 587849217 918011106 1175698434 1377016659 1763547651 2754033318 3527095302 3723045041 5290642953 7446090082 10581285906 11169135123 22338270246 33507405369 67014810738 100522216107 201044432214