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40145133015 = 325133718110247
BaseRepresentation
bin100101011000110101…
…100001110111010111
310211121210011001120100
4211120311201313113
51124204123224030
630235321305143
72620556000061
oct453065416727
9124553131510
1040145133015
1116030976689
1279446351b3
133a2a1690a0
141d2b98a731
15109e604360
hex958d61dd7

40145133015 has 96 divisors (see below), whose sum is σ = 77395683456. Its totient is φ = 19121495040.

The previous prime is 40145133011. The next prime is 40145133031. The reversal of 40145133015 is 51033154104.

It is a happy number.

It is not a de Polignac number, because 40145133015 - 22 = 40145133011 is a prime.

It is a super-3 number, since 3×401451330153 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40145133015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40145133011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912622 + ... + 3922868.

It is an arithmetic number, because the mean of its divisors is an integer number (806205036).

Almost surely, 240145133015 is an apocalyptic number.

40145133015 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40145133015 is a deficient number, since it is larger than the sum of its proper divisors (37250550441).

40145133015 is a wasteful number, since it uses less digits than its factorization.

40145133015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 40145133015 its reverse (51033154104), we get a palindrome (91178287119).

The spelling of 40145133015 in words is "forty billion, one hundred forty-five million, one hundred thirty-three thousand, fifteen".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 181 185 195 333 481 543 555 585 905 1443 1629 1665 2353 2405 2715 4329 6697 7059 7215 8145 10247 11765 20091 21177 21645 30741 33485 35295 51235 60273 87061 92223 100455 105885 133211 153705 261183 301365 379139 399633 435305 461115 666055 783549 1137417 1198899 1305915 1854707 1895695 1998165 3412251 3917745 4928807 5564121 5687085 5994495 9273535 14786421 16692363 17061255 24111191 24644035 27820605 44359263 68624159 72333573 73932105 83461815 120555955 205872477 217000719 221796315 343120795 361667865 617617431 892114067 1029362385 1085003595 2676342201 3088087155 4460570335 8029026603 13381711005 40145133015