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4042001825367 = 311319740733257
BaseRepresentation
bin111010110100011010000…
…101010011111001010111
3112022102010001112111120220
4322310122011103321113
51012211004431402432
612332511530525423
7565011400430352
oct72643205237127
915272101474526
104042001825367
111319226723740
1255344a296873
1323420b81413c
14dd8c371d299
157021d5b572c
hex3ad1a153e57

4042001825367 has 32 divisors (see below), whose sum is σ = 6131495860224. Its totient is φ = 2346235545600.

The previous prime is 4042001825357. The next prime is 4042001825371. The reversal of 4042001825367 is 7635281002404.

It is not a de Polignac number, because 4042001825367 - 28 = 4042001825111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042001825317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20267398 + ... + 20465859.

It is an arithmetic number, because the mean of its divisors is an integer number (191609245632).

Almost surely, 24042001825367 is an apocalyptic number.

4042001825367 is a deficient number, since it is larger than the sum of its proper divisors (2089494034857).

4042001825367 is a wasteful number, since it uses less digits than its factorization.

4042001825367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40733399.

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 4042001825367 in words is "four trillion, forty-two billion, one million, eight hundred twenty-five thousand, three hundred sixty-seven".

Divisors: 1 3 11 31 33 93 97 291 341 1023 1067 3007 3201 9021 33077 99231 40733257 122199771 448065827 1262730967 1344197481 3788192901 3951125929 11853377787 13890040637 41670121911 43462385219 122484903799 130387155657 367454711397 1347333941789 4042001825367