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140144341121424 = 24321381704724541
BaseRepresentation
bin11111110111010111100101…
…101010110111100110010000
3200101012200001002112020102100
4133313113211222313212100
5121332111102311341144
61214021231014120400
741343044263420053
oct3767274552674620
9611180032466370
10140144341121424
114072197700a142
1213874ab4350100
13602772978bca3
1426870452a8a9a
1511307213b6269
hex7f75e5ab7990

140144341121424 has 60 divisors (see below), whose sum is σ = 392493514768732. Its totient is φ = 46680953529600.

The previous prime is 140144341121419. The next prime is 140144341121429. The reversal of 140144341121424 is 424121143441041.

140144341121424 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 4 + 3 + 411 + 214 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (140144341121419) and next prime (140144341121429).

It can be written as a sum of positive squares in 2 ways, for example, as 59802877165824 + 80341463955600 = 7733232^2 + 8963340^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140144341121429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352163407 + ... + 352561134.

Almost surely, 2140144341121424 is an apocalyptic number.

It is an amenable number.

140144341121424 is an abundant number, since it is smaller than the sum of its proper divisors (252349173647308).

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

140144341121424 is a wasteful number, since it uses less digits than its factorization.

140144341121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704725936 (or 704725927 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 140144341121424 its reverse (424121143441041), we get a palindrome (564265484562465).

The spelling of 140144341121424 in words is "one hundred forty trillion, one hundred forty-four billion, three hundred forty-one million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 49716 66288 99432 198864 704724541 1409449082 2114173623 2818898164 4228347246 5637796328 6342520869 8456694492 11275592656 12685041738 16913388984 25370083476 33826777968 50740166952 101480333904 973224591121 1946449182242 2919673773363 3892898364484 5839347546726 7785796728968 8759021320089 11678695093452 15571593457936 17518042640178 23357390186904 35036085280356 46714780373808 70072170560712 140144341121424