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30412114140 = 22353136234513
BaseRepresentation
bin11100010100101101…
…000000100011011100
32220111110202110200210
4130110231000203130
5444241000123030
621545433052420
72124432463542
oct342455004334
986443673623
1030412114140
1111996933531
125a88b57110
132b38888615
141687083d92
15bcedd1bb0
hex714b408dc

30412114140 has 96 divisors (see below), whose sum is σ = 87944564736. Its totient is φ = 7844382720.

The previous prime is 30412114063. The next prime is 30412114157. The reversal of 30412114140 is 4141121403.

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, 6736524 + ... + 6741036.

It is an arithmetic number, because the mean of its divisors is an integer number (916089216).

Almost surely, 230412114140 is an apocalyptic number.

30412114140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30412114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43972282368).

30412114140 is an abundant number, since it is smaller than the sum of its proper divisors (57532450596).

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

30412114140 is a wasteful number, since it uses less digits than its factorization.

30412114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 30412114140 its reverse (4141121403), we get a palindrome (34553235543).

The spelling of 30412114140 in words is "thirty billion, four hundred twelve million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3623 4513 7246 9026 10869 13539 14492 18052 18115 21738 22565 27078 36230 43476 45130 54156 54345 67695 72460 90260 108690 112313 135390 139903 217380 224626 270780 279806 336939 419709 449252 559612 561565 673878 699515 839418 1123130 1347756 1399030 1678836 1684695 2098545 2246260 2798060 3369390 4197090 6738780 8394180 16350599 32701198 49051797 65402396 81752995 98103594 163505990 196207188 245258985 327011980 490517970 506868569 981035940 1013737138 1520605707 2027474276 2534342845 3041211414 5068685690 6082422828 7603028535 10137371380 15206057070 30412114140