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104002431442344 = 23331925341723061
BaseRepresentation
bin10111101001011011110011…
…111110110101110110101000
3111122020112110021012022002000
4113221123303332311312220
5102112433434422123334
61005110020223011000
730622633130105511
oct2751336376656650
9448215407168060
10104002431442344
1130158202236426
12b7b844ba39a60
1346055058b8956
141b97a5d037a08
15c0551de62299
hex5e96f3fb5da8

104002431442344 has 64 divisors (see below), whose sum is σ = 304100676744000. Its totient is φ = 32842873085760.

The previous prime is 104002431442333. The next prime is 104002431442367. The reversal of 104002431442344 is 443244134200401.

104002431442344 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 243 + 144 + 234 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104002431442299 and 104002431442308.

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, 12670857427 + ... + 12670865634.

It is an arithmetic number, because the mean of its divisors is an integer number (4751573074125).

Almost surely, 2104002431442344 is an apocalyptic number.

It is an amenable number.

104002431442344 is an abundant number, since it is smaller than the sum of its proper divisors (200098245301656).

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

104002431442344 is a wasteful number, since it uses less digits than its factorization.

104002431442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25341723095 (or 25341723085 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 104002431442344 its reverse (443244134200401), we get a palindrome (547246565642745).

The spelling of 104002431442344 in words is "one hundred four trillion, two billion, four hundred thirty-one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 25341723061 50683446122 76025169183 101366892244 152050338366 202733784488 228075507549 304100676732 456151015098 481492738159 608201353464 684226522647 912302030196 962985476318 1368453045294 1444478214477 1824604060392 1925970952636 2736906090588 2888956428954 3851941905272 4333434643431 5473812181176 5777912857908 8666869286862 11555825715816 13000303930293 17333738573724 26000607860586 34667477147448 52001215721172 104002431442344