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30130422403104 = 25322691697229181
BaseRepresentation
bin1101101100111010010010…
…00111111101000000100000
310221200102212221110022020100
412312131021013331000200
512422124101113344404
6144025420331542400
76226564645463412
oct666351107750040
9127612787408210
1030130422403104
119667270a47961
1234675895baa00
1313a739599a53a
1476246a9ac9b2
15373b64c78d39
hex1b67491fd020

30130422403104 has 144 divisors (see below), whose sum is σ = 86052968590680. Its totient is φ = 10000197795840.

The previous prime is 30130422403091. The next prime is 30130422403141. The reversal of 30130422403104 is 40130422403103.

30130422403104 is a `hidden beast` number, since 3 + 0 + 1 + 304 + 2 + 2 + 40 + 310 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29376963682704 + 753458720400 = 5420052^2 + 868020^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131355394 + ... + 131584574.

Almost surely, 230130422403104 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 30130422403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43026484295340).

30130422403104 is an abundant number, since it is smaller than the sum of its proper divisors (55922546187576).

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

30130422403104 is a wasteful number, since it uses less digits than its factorization.

30130422403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231163 (or 231152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30130422403104 its reverse (40130422403103), we get a palindrome (70260844806207).

Subtracting 30130422403104 from its reverse (40130422403103), we obtain a palindrome (9999999999999).

The spelling of 30130422403104 in words is "thirty trillion, one hundred thirty billion, four hundred twenty-two million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 269 288 538 807 1076 1614 1697 2152 2421 3228 3394 4304 4842 5091 6456 6788 8608 9684 10182 12912 13576 15273 19368 20364 25824 27152 30546 38736 40728 54304 61092 77472 81456 122184 162912 229181 244368 456493 458362 488736 687543 912986 916724 1369479 1375086 1825972 1833448 2062629 2738958 2750172 3651944 3666896 4108437 4125258 5477916 5500344 7303888 7333792 8216874 8250516 10955832 11000688 14607776 16433748 16501032 21911664 22001376 32867496 33002064 43823328 61649689 65734992 66004128 123299378 131469984 184949067 246598756 369898134 388920157 493197512 554847201 739796268 777840314 986395024 1109694402 1166760471 1479592536 1555680628 1972790048 2219388804 2333520942 2959185072 3111361256 3500281413 4438777608 4667041884 5918370144 6222722512 7000562826 8877555216 9334083768 12445445024 14001125652 17755110432 18668167536 28002251304 37336335072 56004502608 104619522233 112009005216 209239044466 313858566699 418478088932 627717133398 836956177864 941575700097 1255434266796 1673912355728 1883151400194 2510868533592 3347824711456 3766302800388 5021737067184 7532605600776 10043474134368 15065211201552 30130422403104