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40144511341 = 11237431511381
BaseRepresentation
bin100101011000110011…
…001010000101101101
310211121201222110210101
4211120303022011231
51124203443330331
630235300111101
72620550500444
oct453063120555
9124551873711
1040144511341
1116030591600
127944395491
133a29cac12c
141d2b867d5b
15109e530061
hex958cca16d

40144511341 has 48 divisors (see below), whose sum is σ = 46713192064. Its totient is φ = 34428240000.

The previous prime is 40144511339. The next prime is 40144511357. The reversal of 40144511341 is 14311544104.

It is not a de Polignac number, because 40144511341 - 21 = 40144511339 is a prime.

It is a super-2 number, since 2×401445113412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144517341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29068471 + ... + 29069851.

Almost surely, 240144511341 is an apocalyptic number.

It is an amenable number.

40144511341 is a deficient number, since it is larger than the sum of its proper divisors (6568680723).

40144511341 is a wasteful number, since it uses less digits than its factorization.

40144511341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 40144511341 in words is "forty billion, one hundred forty-four million, five hundred eleven thousand, three hundred forty-one".

Divisors: 1 11 37 43 121 151 407 473 1381 1591 1661 4477 5203 5587 6493 15191 17501 18271 51097 59383 61457 71423 167101 192511 208531 240241 562067 653213 676027 785653 2197171 2293841 2642651 6182737 7185343 7715647 8966833 24168881 25232251 29069161 84872117 98635163 265857691 331772821 933593287 1084986793 3649501031 40144511341