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30430201440 = 2535109581617
BaseRepresentation
bin11100010101110010…
…000000011001100000
32220112201210101210210
4130111302000121200
5444310112421230
621551320454120
72125042305312
oct342562003140
986481711723
1030430201440
11119a6067811
125a9301a340
132b3c54c272
1416896317b2
15bd17a5eb0
hex715c80660

30430201440 has 96 divisors (see below), whose sum is σ = 96734705760. Its totient is φ = 8040259584.

The previous prime is 30430201411. The next prime is 30430201453. The reversal of 30430201440 is 4410203403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238489 + ... + 343128.

It is an arithmetic number, because the mean of its divisors is an integer number (1007653185).

Almost surely, 230430201440 is an apocalyptic number.

30430201440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30430201440 is an abundant number, since it is smaller than the sum of its proper divisors (66304504320).

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

30430201440 is a wasteful number, since it uses less digits than its factorization.

30430201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581744 (or 581736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30430201440 its reverse (4410203403), we get a palindrome (34840404843).

The spelling of 30430201440 in words is "thirty billion, four hundred thirty million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320 581617 1163234 1744851 2326468 2908085 3489702 4652936 5816170 6979404 8724255 9305872 11632340 13958808 17448510 18611744 23264680 27917616 34897020 46529360 55835232 63396253 69794040 93058720 126792506 139588080 190188759 253585012 279176160 316981265 380377518 507170024 633962530 760755036 950943795 1014340048 1267925060 1521510072 1901887590 2028680096 2535850120 3043020144 3803775180 5071700240 6086040288 7607550360 10143400480 15215100720 30430201440