Search a number
-
+
30134104421024 = 2523173293807731
BaseRepresentation
bin1101101101000001001001…
…00101101111001010100000
310221200210101112211012021102
412312200210211233022200
512422204121212433044
6144031225542213532
76230055125224502
oct666404445571240
9127623345735242
1030134104421024
11966889039547a
1234682367242a8
1313a7831766376
147626d99cbd72
15373ccd13c24e
hex1b682496f2a0

30134104421024 has 96 divisors (see below), whose sum is σ = 62476351346304. Its totient is φ = 14279735895040.

The previous prime is 30134104421023. The next prime is 30134104421063. The reversal of 30134104421024 is 42012440143103.

It is not an unprimeable number, because it can be changed into a prime (30134104421021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36903239 + ... + 37710969.

It is an arithmetic number, because the mean of its divisors is an integer number (650795326524).

Almost surely, 230134104421024 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 30134104421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31238175673152).

30134104421024 is an abundant number, since it is smaller than the sum of its proper divisors (32342246925280).

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

30134104421024 is a wasteful number, since it uses less digits than its factorization.

30134104421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808230 (or 808222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 30134104421024 its reverse (42012440143103), we get a palindrome (72146544564127).

The spelling of 30134104421024 in words is "thirty trillion, one hundred thirty-four billion, one hundred four million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 173 184 293 346 368 586 692 736 1172 1384 2344 2768 3979 4688 5536 6739 7958 9376 13478 15916 26956 31832 50689 53912 63664 101378 107824 127328 202756 215648 405512 807731 811024 1165847 1615462 1622048 2331694 3230924 4663388 6461848 9326776 12923696 18577813 18653552 25847392 37155626 37307104 74311252 139737463 148622504 236665183 279474926 297245008 473330366 558949852 594490016 946660732 1117899704 1893321464 2235799408 3213961649 3786642928 4471598816 5443299209 6427923298 7573285856 10886598418 12855846596 21773196836 25711693192 40943076659 43546393672 51423386384 81886153318 87092787344 102846772768 163772306636 174185574688 327544613272 655089226544 941690763157 1310178453088 1883381526314 3766763052628 7533526105256 15067052210512 30134104421024