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30345140140 = 22577113212311
BaseRepresentation
bin11100010000101101…
…100001011110101100
32220022210201211122021
4130100231201132230
5444121323441030
621535041355524
72122660302220
oct342055413654
986283654567
1030345140140
1111962049a17
125a6a638ba4
132b27a39233
14167c20c780
15bc90a297a
hex710b617ac

30345140140 has 96 divisors (see below), whose sum is σ = 73941977088. Its totient is φ = 10245312000.

The previous prime is 30345140117. The next prime is 30345140153. The reversal of 30345140140 is 4104154303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13129585 + ... + 13131895.

It is an arithmetic number, because the mean of its divisors is an integer number (770228928).

Almost surely, 230345140140 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 30345140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970988544).

30345140140 is an abundant number, since it is smaller than the sum of its proper divisors (43596836948).

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

30345140140 is a wasteful number, since it uses less digits than its factorization.

30345140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 30345140140 its reverse (4104154303), we get a palindrome (34449294443).

The spelling of 30345140140 in words is "thirty billion, three hundred forty-five million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1321 1420 1988 2311 2485 2642 4622 4970 5284 6605 9244 9247 9940 11555 13210 16177 18494 23110 26420 32354 36988 46220 46235 64708 80885 92470 93791 161770 164081 184940 187582 323540 328162 375164 468955 656324 656537 820405 937910 1148567 1313074 1640810 1875820 2297134 2626148 3052831 3281620 3282685 4594268 5742835 6105662 6565370 11485670 12211324 13130740 15264155 21369817 22971340 30528310 42739634 61056620 85479268 106849085 213698170 216751001 427396340 433502002 867004004 1083755005 1517257007 2167510010 3034514014 4335020020 6069028028 7586285035 15172570070 30345140140