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30019369140 = 22325295750837
BaseRepresentation
bin11011111101010010…
…110011100010110100
32212111002201221211200
4123331102303202310
5442434424303030
621442443132500
72111623266435
oct337522634264
985432657750
1030019369140
1111805173392
125999514130
132aa53b7327
14164ac4b48c
15baa6a2d60
hex6fd4b38b4

30019369140 has 72 divisors (see below), whose sum is σ = 94198726440. Its totient is φ = 7729123584.

The previous prime is 30019369129. The next prime is 30019369151. The reversal of 30019369140 is 4196391003.

It is an interprime number because it is at equal distance from previous prime (30019369129) and next prime (30019369151).

It can be written as a sum of positive squares in 4 ways, for example, as 8547742116 + 21471627024 = 92454^2 + 146532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30019369095 and 30019369104.

It is a congruent number.

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, 2870199 + ... + 2880638.

It is an arithmetic number, because the mean of its divisors is an integer number (1308315645).

Almost surely, 230019369140 is an apocalyptic number.

30019369140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30019369140 is an abundant number, since it is smaller than the sum of its proper divisors (64179357300).

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

30019369140 is a wasteful number, since it uses less digits than its factorization.

30019369140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750881 (or 5750876 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 30019369140 in words is "thirty billion, nineteen million, three hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 5750837 11501674 17252511 23003348 28754185 34505022 51757533 57508370 69010044 86262555 103515066 115016740 166774273 172525110 207030132 258787665 333548546 345050220 500322819 517575330 667097092 833871365 1000645638 1035150660 1500968457 1667742730 2001291276 2501614095 3001936914 3335485460 5003228190 6003873828 7504842285 10006456380 15009684570 30019369140