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140050584672 = 25312101120557
BaseRepresentation
bin1000001001101110101…
…0100101010001100000
3111101111100212211212120
42002123222211101200
54243310422202142
6144201030024240
713055404220325
oct2023352452140
9441440784776
10140050584672
11544389a4159
12231867a8080
131028c1c355b
146ac8238b4c
15399a3b47ec
hex209baa5460

140050584672 has 48 divisors (see below), whose sum is σ = 367666214832. Its totient is φ = 46679283200.

The previous prime is 140050584647. The next prime is 140050584673. The reversal of 140050584672 is 276485050041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1400505846722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140050584673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101418 + ... + 1221974.

It is an arithmetic number, because the mean of its divisors is an integer number (7659712809).

Almost surely, 2140050584672 is an apocalyptic number.

140050584672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140050584672 is an abundant number, since it is smaller than the sum of its proper divisors (227615630160).

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

140050584672 is a wasteful number, since it uses less digits than its factorization.

140050584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132671 (or 132663 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 140050584672 in words is "one hundred forty billion, fifty million, five hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12101 24202 36303 48404 72606 96808 120557 145212 193616 241114 290424 361671 387232 482228 580848 723342 964456 1161696 1446684 1928912 2893368 3857824 5786736 11573472 1458860257 2917720514 4376580771 5835441028 8753161542 11670882056 17506323084 23341764112 35012646168 46683528224 70025292336 140050584672