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40341014304 = 2531025940961
BaseRepresentation
bin100101100100100000…
…110000011100100000
310212010102201212011220
4211210200300130200
51130104244424204
630310555535040
72625454651413
oct454440603440
9125112655156
1040341014304
11161214a6148
12799a15a480
133a5b910786
141d499b9b7a
1510b18e81d9
hex964830720

40341014304 has 48 divisors (see below), whose sum is σ = 105908070240. Its totient is φ = 13445365760.

The previous prime is 40341014279. The next prime is 40341014327.

40341014304 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964384 + ... + 1005344.

It is an arithmetic number, because the mean of its divisors is an integer number (2206418130).

Almost surely, 240341014304 is an apocalyptic number.

It is an amenable number.

40341014304 is an abundant number, since it is smaller than the sum of its proper divisors (65567055936).

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

40341014304 is a wasteful number, since it uses less digits than its factorization.

40341014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51233 (or 51225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 403410 and 14304, that added together give a palindrome (417714).

The spelling of 40341014304 in words is "forty billion, three hundred forty-one million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10259 20518 30777 40961 41036 61554 81922 82072 122883 123108 163844 164144 245766 246216 327688 328288 491532 492432 655376 983064 984864 1310752 1966128 3932256 420218899 840437798 1260656697 1680875596 2521313394 3361751192 5042626788 6723502384 10085253576 13447004768 20170507152 40341014304