Search a number
-
+
30413114004 = 22372134784653
BaseRepresentation
bin11100010100110000…
…110100101010010100
32220111112122021020210
4130110300310222110
5444241224122004
621545510325420
72124444126600
oct342460645224
986445567223
1030413114004
1111997456769
125a89359870
132b38b48760
141687264500
15bd002d089
hex714c34a94

30413114004 has 144 divisors (see below), whose sum is σ = 90792430848. Its totient is φ = 7850287872.

The previous prime is 30413113987. The next prime is 30413114113. The reversal of 30413114004 is 40041131403.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316942 + ... + 401594.

It is an arithmetic number, because the mean of its divisors is an integer number (630502992).

Almost surely, 230413114004 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 30413114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396215424).

30413114004 is an abundant number, since it is smaller than the sum of its proper divisors (60379316844).

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

30413114004 is a wasteful number, since it uses less digits than its factorization.

30413114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84734 (or 84725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30413114004 its reverse (40041131403), we get a palindrome (70454245407).

The spelling of 30413114004 in words is "thirty billion, four hundred thirteen million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 49 52 78 84 91 94 98 141 147 156 182 188 196 273 282 294 329 364 546 564 588 611 637 658 987 1092 1222 1274 1316 1833 1911 1974 2303 2444 2548 3666 3822 3948 4277 4606 6909 7332 7644 8554 9212 12831 13818 17108 25662 27636 29939 51324 59878 84653 89817 119756 169306 179634 253959 338612 359268 507918 592571 1015836 1100489 1185142 1777713 2200978 2370284 3301467 3555426 3978691 4147997 4401956 6602934 7110852 7703423 7957382 8295994 11936073 12443991 13205868 15406846 15914764 16591988 23110269 23872146 24887982 27850837 30813692 46220538 47744292 49775964 51722983 53923961 55701674 83552511 92441076 103445966 107847922 111403348 155168949 161771883 167105022 194955859 206891932 215695844 310337898 323543766 334210044 362060881 389911718 584867577 620675796 647087532 724121762 779823436 1086182643 1169735154 1448243524 2172365286 2339470308 2534426167 4344730572 5068852334 7603278501 10137704668 15206557002 30413114004