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1428429996 = 2232723416011
BaseRepresentation
bin101010100100100…
…0001110010101100
310200112211202120200
41111021001302230
510411134224441
6353424113500
750253311640
oct12511016254
93615752520
101428429996
11673347664
1233a465890
13199c23c66
14d79d2c20
158560d7b6
hex55241cac

1428429996 has 144 divisors (see below), whose sum is σ = 4411749888. Its totient is φ = 380793600.

The previous prime is 1428429979. The next prime is 1428430001. The reversal of 1428429996 is 6999248241.

1428429996 is a `hidden beast` number, since 1 + 428 + 42 + 99 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234631 + ... + 240641.

It is an arithmetic number, because the mean of its divisors is an integer number (30637152).

Almost surely, 21428429996 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 1428429996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205874944).

1428429996 is an abundant number, since it is smaller than the sum of its proper divisors (2983319892).

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

1428429996 is a wasteful number, since it uses less digits than its factorization.

1428429996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6087 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1428429996 is about 37794.5762775560. The cubic root of 1428429996 is about 1126.2107119858.

The spelling of 1428429996 in words is "one billion, four hundred twenty-eight million, four hundred twenty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 41 42 46 63 69 82 84 92 123 126 138 161 164 207 246 252 276 287 322 369 414 483 492 574 644 738 828 861 943 966 1148 1449 1476 1722 1886 1932 2583 2829 2898 3444 3772 5166 5658 5796 6011 6601 8487 10332 11316 12022 13202 16974 18033 19803 24044 26404 33948 36066 39606 42077 54099 59409 72132 79212 84154 108198 118818 126231 138253 168308 216396 237636 246451 252462 276506 378693 414759 492902 504924 553012 739353 757386 829518 967771 985804 1244277 1478706 1514772 1659036 1725157 1935542 2218059 2488554 2903313 2957412 3450314 3871084 4436118 4977108 5175471 5668373 5806626 6900628 8709939 8872236 10350942 11336746 11613252 15526413 17005119 17419878 20701884 22673492 31052826 34010238 34839756 39678611 51015357 62105652 68020476 79357222 102030714 119035833 158714444 204061428 238071666 357107499 476143332 714214998 1428429996