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30420142002 = 2337321613571
BaseRepresentation
bin11100010101001011…
…101000011110110010
32220112000212022212000
4130111023220132302
5444300024021002
621550321114430
72124560640435
oct342513503662
986460768760
1030420142002
11119a0416a28
125a8b788a16
132b3a439633
14168817381c
15bd096a61c
hex7152e87b2

30420142002 has 64 divisors (see below), whose sum is σ = 68577256320. Its totient is φ = 9993715200.

The previous prime is 30420141971. The next prime is 30420142007. The reversal of 30420142002 is 20024102403.

30420142002 is a `hidden beast` number, since 30 + 420 + 14 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30420142007) 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, 8516877 + ... + 8520447.

It is an arithmetic number, because the mean of its divisors is an integer number (1071519630).

Almost surely, 230420142002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420142002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34288628160).

30420142002 is an abundant number, since it is smaller than the sum of its proper divisors (38157114318).

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

30420142002 is a wasteful number, since it uses less digits than its factorization.

30420142002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30420142002 its reverse (20024102403), we get a palindrome (50444244405).

The spelling of 30420142002 in words is "thirty billion, four hundred twenty million, one hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 2161 3571 3942 4322 6483 7142 10713 12966 19449 21426 32139 38898 58347 64278 96417 116694 157753 192834 260683 315506 473259 521366 782049 946518 1419777 1564098 2346147 2839554 4259331 4692294 7038441 7716931 8518662 14076882 15433862 23150793 46301586 69452379 138904758 208357137 416714274 563335963 1126671926 1690007889 3380015778 5070023667 10140047334 15210071001 30420142002