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141610444704 = 2532790162233
BaseRepresentation
bin1000001111100010100…
…0111110011110100000
3111112112002000221120100
42003320220332132200
54310004233212304
6145015511142400
713142144630241
oct2037050763640
9445462027510
10141610444704
115506944a083
1223541074a00
131047a413b61
146bd5480cc8
153a3c2d5439
hex20f8a3e7a0

141610444704 has 72 divisors (see below), whose sum is σ = 402762142692. Its totient is φ = 47196748800.

The previous prime is 141610444663. The next prime is 141610444721. The reversal of 141610444704 is 407444016141.

141610444704 is a `hidden beast` number, since 141 + 6 + 1 + 0 + 44 + 470 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122116700304 + 19493744400 = 349452^2 + 139620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2244372 + ... + 2306604.

Almost surely, 2141610444704 is an apocalyptic number.

It is an amenable number.

141610444704 is an abundant number, since it is smaller than the sum of its proper divisors (261151697988).

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

141610444704 is a wasteful number, since it uses less digits than its factorization.

141610444704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70150 (or 70139 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 141610444704 in words is "one hundred forty-one billion, six hundred ten million, four hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7901 15802 23703 31604 47406 62233 63208 71109 94812 124466 126416 142218 186699 189624 248932 252832 284436 373398 379248 497864 560097 568872 746796 758496 995728 1120194 1137744 1493592 1991456 2240388 2275488 2987184 4480776 5974368 8961552 17923104 491702933 983405866 1475108799 1966811732 2950217598 3933623464 4425326397 5900435196 7867246928 8850652794 11800870392 15734493856 17701305588 23601740784 35402611176 47203481568 70805222352 141610444704