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30023135440 = 2453113192413
BaseRepresentation
bin11011111101100001…
…001011000011010000
32212111100211022020021
4123331201023003100
5442441410313230
621443055553224
72112000304054
oct337541130320
985440738207
1030023135440
1111807306031
12599a82b814
132aa61056cc
14164b54bc64
15baab98c7a
hex6fd84b0d0

30023135440 has 80 divisors (see below), whose sum is σ = 72606352896. Its totient is φ = 11533017600.

The previous prime is 30023135419. The next prime is 30023135453. The reversal of 30023135440 is 4453132003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 278674 + ... + 371086.

Almost surely, 230023135440 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 30023135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36303176448).

30023135440 is an abundant number, since it is smaller than the sum of its proper divisors (42583217456).

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

30023135440 is a wasteful number, since it uses less digits than its factorization.

30023135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92588 (or 92582 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 30023135440 its reverse (4453132003), we get a palindrome (34476267443).

The spelling of 30023135440 in words is "thirty billion, twenty-three million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 131 155 248 262 310 496 524 620 655 1048 1240 1310 2096 2480 2620 4061 5240 8122 10480 16244 20305 32488 40610 64976 81220 92413 162440 184826 324880 369652 462065 739304 924130 1478608 1848260 2864803 3696520 5729606 7393040 11459212 12106103 14324015 22918424 24212206 28648030 45836848 48424412 57296060 60530515 96848824 114592120 121061030 193697648 229184240 242122060 375289193 484244120 750578386 968488240 1501156772 1876445965 3002313544 3752891930 6004627088 7505783860 15011567720 30023135440