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140414001003252 = 22332235830177753
BaseRepresentation
bin11111111011010010101110…
…101001101011101011110100
3200102011110002011011120101000
4133323102232221223223310
5121401020333224101002
61214345145045203300
741401401561534414
oct3773225651535364
9612143064146330
10140414001003252
1140816274a87609
12138b9210a00530
136046ca291c442
142696106b48644
15113775516561c
hex7fb4aea6baf4

140414001003252 has 48 divisors (see below), whose sum is σ = 365668748730880. Its totient is φ = 46594780593984.

The previous prime is 140414001003203. The next prime is 140414001003281. The reversal of 140414001003252 is 252300100414041.

140414001003252 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 1 + 400 + 1 + 0 + 0 + 3 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2915064793 + ... + 2915112960.

Almost surely, 2140414001003252 is an apocalyptic number.

140414001003252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140414001003252 is an abundant number, since it is smaller than the sum of its proper divisors (225254747727628).

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

140414001003252 is a wasteful number, since it uses less digits than its factorization.

140414001003252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830177989 (or 5830177981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140414001003252 its reverse (252300100414041), we get a palindrome (392714101417293).

The spelling of 140414001003252 in words is "one hundred forty trillion, four hundred fourteen billion, one million, three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 6021 8028 12042 24084 5830177753 11660355506 17490533259 23320711012 34981066518 52471599777 69962133036 104943199554 157414799331 209886399108 314829598662 629659197324 1300129638919 2600259277838 3900388916757 5200518555676 7800777833514 11701166750271 15601555667028 23402333500542 35103500250813 46804667001084 70207000501626 140414001003252