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84404048800440 = 233537165711472493
BaseRepresentation
bin10011001100001111011001…
…010110001010101010111000
3102001211221121021122110121210
4103030033121112022222320
542030333442443103230
6455302403522403120
723530664004221415
oct2314173126125270
9361757537573553
1084404048800440
1124991613158876
1295720a12004a0
133813363045a95
1416bb26bab110c
159b58229a1eb0
hex4cc3d958aab8

84404048800440 has 128 divisors (see below), whose sum is σ = 260212684311360. Its totient is φ = 21886210658304.

The previous prime is 84404048800387. The next prime is 84404048800447. The reversal of 84404048800440 is 4400884040448.

It is a self number, because there is not a number n which added to its sum of digits gives 84404048800440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84404048800447) 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, 1620834 + ... + 13093326.

Almost surely, 284404048800440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84404048800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130106342155680).

84404048800440 is an abundant number, since it is smaller than the sum of its proper divisors (175808635510920).

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

84404048800440 is a wasteful number, since it uses less digits than its factorization.

84404048800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474201 (or 11474197 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 84404048800440 in words is "eighty-four trillion, four hundred four billion, forty-eight million, eight hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1657 2220 3314 4440 4971 6628 8285 9942 13256 16570 19884 24855 33140 39768 49710 61309 66280 99420 122618 183927 198840 245236 306545 367854 490472 613090 735708 919635 1226180 1471416 1839270 2452360 3678540 7357080 11472493 22944986 34417479 45889972 57362465 68834958 91779944 114724930 137669916 172087395 229449860 275339832 344174790 424482241 458899720 688349580 848964482 1273446723 1376699160 1697928964 2122411205 2546893446 3395857928 4244822410 5093786892 6367233615 8489644820 10187573784 12734467230 16979289640 19009920901 25468934460 38019841802 50937868920 57029762703 76039683604 95049604505 114059525406 152079367208 190099209010 228119050812 285148813515 380198418020 456238101624 570297627030 703367073337 760396836040 1140595254060 1406734146674 2110101220011 2281190508120 2813468293348 3516835366685 4220202440022 5626936586696 7033670733370 8440404880044 10550506100055 14067341466740 16880809760088 21101012200110 28134682933480 42202024400220 84404048800440