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1420133112 = 2332193728057
BaseRepresentation
bin101010010100101…
…1000001011111000
310122222020020101200
41110221120023320
510402023224422
6352530214200
750122634526
oct12451301370
93588206350
101420133112
116696a0032
12337724360
131982aa668
14d6873316
1584a202ac
hex54a582f8

1420133112 has 96 divisors (see below), whose sum is σ = 4158195600. Its totient is φ = 436326912.

The previous prime is 1420133107. The next prime is 1420133119. The reversal of 1420133112 is 2113310241.

1420133112 is a `hidden beast` number, since 1 + 420 + 133 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420133119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36588 + ... + 64644.

Almost surely, 21420133112 is an apocalyptic number.

1420133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079097800).

1420133112 is an abundant number, since it is smaller than the sum of its proper divisors (2738062488).

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

1420133112 is a wasteful number, since it uses less digits than its factorization.

1420133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28125 (or 28118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1420133112 is about 37684.6535342970. The cubic root of 1420133112 is about 1124.0259848014.

Adding to 1420133112 its reverse (2113310241), we get a palindrome (3533443353).

The spelling of 1420133112 in words is "one billion, four hundred twenty million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 296 333 342 444 456 666 684 703 888 1332 1368 1406 2109 2664 2812 4218 5624 6327 8436 12654 16872 25308 28057 50616 56114 84171 112228 168342 224456 252513 336684 505026 533083 673368 1010052 1038109 1066166 1599249 2020104 2076218 2132332 3114327 3198498 4152436 4264664 4797747 6228654 6396996 8304872 9342981 9595494 12457308 12793992 18685962 19190988 19724071 24914616 37371924 38381976 39448142 59172213 74743848 78896284 118344426 157792568 177516639 236688852 355033278 473377704 710066556 1420133112