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40144297104 = 2432535259997
BaseRepresentation
bin100101011000110010…
…010101110010010000
310211121201120120220200
4211120302111302100
51124203420001404
630235251335200
72620545616032
oct453062256220
9124551516820
1040144297104
111603045564a
1279442b1500
133a29c35772
141d2b80dc52
15109e4db839
hex958c95c90

40144297104 has 60 divisors (see below), whose sum is σ = 114468076476. Its totient is φ = 13128950016.

The previous prime is 40144297087. The next prime is 40144297147. The reversal of 40144297104 is 40179244104.

It can be written as a sum of positive squares in 2 ways, for example, as 16551337104 + 23592960000 = 128652^2 + 153600^2 .

It is a super-2 number, since 2×401442971042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622367 + ... + 2637630.

Almost surely, 240144297104 is an apocalyptic number.

It is an amenable number.

40144297104 is an abundant number, since it is smaller than the sum of its proper divisors (74323779372).

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

40144297104 is a wasteful number, since it uses less digits than its factorization.

40144297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260064 (or 5260055 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40144297104 in words is "forty billion, one hundred forty-four million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 5259997 10519994 15779991 21039988 31559982 42079976 47339973 63119964 84159952 94679946 126239928 189359892 252479856 278779841 378719784 557559682 757439568 836339523 1115119364 1672679046 2230238728 2509018569 3345358092 4460477456 5018037138 6690716184 10036074276 13381432368 20072148552 40144297104