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30447631505240 = 2354789557326701
BaseRepresentation
bin1101110110001001001000…
…10000101001011101011000
310222210202122210100022002122
412323010210100221131120
512442323222131131430
6144431240535520412
76261524456404355
oct673044420513530
9128722583308078
1030447631505240
11977984a242314
1234b8b56229108
1313cb278c12801
1477395d4a162c
1537c02d165ee5
hex1bb124429758

30447631505240 has 128 divisors (see below), whose sum is σ = 70878129580800. Its totient is φ = 11764796313600.

The previous prime is 30447631505233. The next prime is 30447631505279. The reversal of 30447631505240 is 4250513674403.

It is a junction number, because it is equal to n+sod(n) for n = 30447631505191 and 30447631505200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93033890 + ... + 93360590.

It is an arithmetic number, because the mean of its divisors is an integer number (553735387350).

Almost surely, 230447631505240 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 30447631505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35439064790400).

30447631505240 is an abundant number, since it is smaller than the sum of its proper divisors (40430498075560).

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

30447631505240 is a wasteful number, since it uses less digits than its factorization.

30447631505240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327405 (or 327401 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 30447631505240 in words is "thirty trillion, four hundred forty-seven billion, six hundred thirty-one million, five hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 89 94 178 188 235 356 376 445 470 557 712 890 940 1114 1780 1880 2228 2785 3560 4183 4456 5570 8366 11140 16732 20915 22280 26179 33464 41830 49573 52358 83660 99146 104716 130895 167320 198292 209432 247865 261790 326701 396584 495730 523580 653402 991460 1047160 1306804 1633505 1982920 2329931 2613608 3267010 4659862 6534020 9319724 11649655 13068040 15354947 18639448 23299310 29076389 30709894 46598620 58152778 61419788 76774735 93197240 116305556 122839576 145381945 153549470 181972457 232611112 290763890 307098940 363944914 581527780 614197880 727889828 909862285 1163055560 1366590283 1455779656 1819724570 2733180566 3639449140 5466361132 6832951415 7278898280 8552705479 10932722264 13665902830 16195548673 17105410958 27331805660 32391097346 34210821916 42763527395 54663611320 64782194692 68421643832 80977743365 85527054790 129564389384 161955486730 171054109580 323910973460 342108219160 647821946920 761190787631 1522381575262 3044763150524 3805953938155 6089526301048 7611907876310 15223815752620 30447631505240