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30095103744 = 283310694073
BaseRepresentation
bin11100000001110011…
…101101011100000000
32212200101020200012000
4130001303231130000
5443113321304434
621454150304000
72113533106146
oct340163553400
985611220160
1030095103744
11118439a0972
1259ba958000
132ab7cb30c4
141656d23596
15bb2162b99
hex701ced700

30095103744 has 144 divisors (see below), whose sum is σ = 89101639200. Its totient is φ = 10019856384.

The previous prime is 30095103691. The next prime is 30095103793. The reversal of 30095103744 is 44730159003.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 30095103699 and 30095103708.

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, 7386892 + ... + 7390964.

Almost surely, 230095103744 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 30095103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550819600).

30095103744 is an abundant number, since it is smaller than the sum of its proper divisors (59006535456).

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

30095103744 is a wasteful number, since it uses less digits than its factorization.

30095103744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 30095103744 in words is "thirty billion, ninety-five million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1069 1152 1728 2138 2304 3207 3456 4073 4276 6414 6912 8146 8552 9621 12219 12828 16292 17104 19242 24438 25656 28863 32584 34208 36657 38484 48876 51312 57726 65168 68416 73314 76968 97752 102624 109971 115452 130336 136832 146628 153936 195504 205248 219942 230904 260672 273664 293256 307872 391008 410496 439884 461808 521344 586512 615744 782016 820992 879768 923616 1042688 1173024 1231488 1564032 1759536 1847232 2346048 2462976 3128064 3519072 3694464 4354037 4692096 7038144 7388928 8708074 9384192 13062111 14076288 17416148 26124222 28152576 34832296 39186333 52248444 69664592 78372666 104496888 117558999 139329184 156745332 208993776 235117998 278658368 313490664 417987552 470235996 557316736 626981328 835975104 940471992 1114633472 1253962656 1671950208 1880943984 2507925312 3343900416 3761887968 5015850624 7523775936 10031701248 15047551872 30095103744