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171430001444 = 221317270116273
BaseRepresentation
bin1001111110101000000…
…1100011101100100100
3121101111020210101022202
42133222001203230210
510302042040021234
6210430455514032
715246123653402
oct2375201435444
9541436711282
10171430001444
1166780848449
1229283688918
13132202ab3a0
148423958472
1546d516977e
hex27ea063b24

171430001444 has 72 divisors (see below), whose sum is σ = 343712933928. Its totient is φ = 74356531200.

The previous prime is 171430001419. The next prime is 171430001507. The reversal of 171430001444 is 444100034171.

It can be written as a sum of positive squares in 12 ways, for example, as 7354777600 + 164075223844 = 85760^2 + 405062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10526492 + ... + 10542764.

It is an arithmetic number, because the mean of its divisors is an integer number (4773790749).

Almost surely, 2171430001444 is an apocalyptic number.

It is an amenable number.

171430001444 is an abundant number, since it is smaller than the sum of its proper divisors (172282932484).

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

171430001444 is a wasteful number, since it uses less digits than its factorization.

171430001444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025 (or 17006 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 171430001444 in words is "one hundred seventy-one billion, four hundred thirty million, one thousand, four hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 701 884 1156 1402 2804 3757 7514 9113 11917 15028 16273 18226 23834 32546 36452 47668 65092 154921 202589 211549 276641 309842 405178 423098 553282 619684 810356 846196 1106564 2633657 3596333 4702897 5267314 7192666 9405794 10534628 11407373 14385332 18811588 22814746 45629492 61137661 122275322 148295849 193925341 244550644 296591698 387850682 593183396 775701364 2521029433 3296730797 5042058866 6593461594 10084117732 13186923188 42857500361 85715000722 171430001444