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405501042120030 = 232510935300377773
BaseRepresentation
bin101110000110011010001000…
…1100100100101010101011110
31222011202112001211112010201200
41130030310101210211111132
5411122212113240320110
63554232335043020330
7151261324561303023
oct13414642144452536
91864675054463650
10405501042120030
1110822903198287a
123959099a66a6a6
131453577962674c
14721c4d87a754a
1531d302cbd46c0
hex170cd1192555e

405501042120030 has 96 divisors (see below), whose sum is σ = 1055300783243616. Its totient is φ = 108031251025152.

The previous prime is 405501042120017. The next prime is 405501042120043. The reversal of 405501042120030 is 30021240105504.

405501042120030 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 0 + 1 + 0 + 421 + 200 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (405501042120017) and next prime (405501042120043).

It is a super-3 number, since 3×4055010421200303 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405501042119976 and 405501042120003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5213866224 + ... + 5213943996.

It is an arithmetic number, because the mean of its divisors is an integer number (10992716492121).

Almost surely, 2405501042120030 is an apocalyptic number.

405501042120030 is an abundant number, since it is smaller than the sum of its proper divisors (649799741123586).

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

405501042120030 is a wasteful number, since it uses less digits than its factorization.

405501042120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131882 (or 131879 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 405501042120030 its reverse (30021240105504), we get a palindrome (435522282225534).

The spelling of 405501042120030 in words is "four hundred five trillion, five hundred one billion, forty-two million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1093 2186 3279 5465 6558 9837 10930 16395 19674 32790 49185 53003 77773 98370 106006 155546 159009 233319 265015 318018 388865 466638 477027 530030 699957 777730 795045 954054 1166595 1399914 1590090 2333190 2385135 3499785 4770270 6999570 57932279 85005889 115864558 170011778 173796837 255017667 289661395 347593674 425029445 510035334 521390511 579322790 765053001 850058890 868984185 1042781022 1275088335 1530106002 1737968370 2550176670 2606952555 3825265005 4122202319 5213905110 7650530010 8244404638 12366606957 20611011595 24733213914 37099820871 41222023190 61833034785 74199641742 123666069570 185499104355 370998208710 4505567134667 9011134269334 13516701404001 22527835673335 27033402808002 40550104212003 45055671346670 67583507020005 81100208424006 135167014040010 202750521060015 405501042120030