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30285731742 = 237371207269
BaseRepresentation
bin11100001101001010…
…111001011110011110
32220011122221120122020
4130031022321132132
5444011121403432
621525120201010
72121336321000
oct341512713636
986148846566
1030285731742
1111931562572
125a52769166
132b18638636
141674386370
15bc3c6a22c
hex70d2b979e

30285731742 has 64 divisors (see below), whose sum is σ = 71632512000. Its totient is φ = 8531150880.

The previous prime is 30285731731. The next prime is 30285731743. The reversal of 30285731742 is 24713758203.

It is a happy number.

It is a super-3 number, since 3×302857317423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30285731694 and 30285731703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30285731743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42484 + ... + 249752.

It is an arithmetic number, because the mean of its divisors is an integer number (1119258000).

Almost surely, 230285731742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30285731742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816256000).

30285731742 is an abundant number, since it is smaller than the sum of its proper divisors (41346780258).

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

30285731742 is a wasteful number, since it uses less digits than its factorization.

30285731742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207366 (or 207352 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 30285731742 in words is "thirty billion, two hundred eighty-five million, seven hundred thirty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 343 426 497 686 994 1029 1491 2058 2982 3479 6958 10437 20874 24353 48706 73059 146118 207269 414538 621807 1243614 1450883 2901766 4352649 8705298 10156181 14716099 20312362 29432198 30468543 44148297 60937086 71093267 88296594 103012693 142186534 206025386 213279801 309038079 426559602 618076158 721088851 1442177702 2163266553 4326533106 5047621957 10095243914 15142865871 30285731742