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2211003421440 = 28351152343831
BaseRepresentation
bin100000001011001010000…
…100101101001100000000
321211100222122000021000220
4200023022010231030000
5242211113333441230
64411415420343040
7315511503664662
oct40131204551400
97740878007026
102211003421440
11782754877410
122b86106a4a80
1313065c4082b8
1479028092532
153c7a7469d10
hex202ca12d300

2211003421440 has 144 divisors (see below), whose sum is σ = 7703337067776. Its totient is φ = 536000819200.

The previous prime is 2211003421433. The next prime is 2211003421441. The reversal of 2211003421440 is 441243001122.

It is a super-2 number, since 2×22110034214402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2211003421440.

It is not an unprimeable number, because it can be changed into a prime (2211003421441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26129676 + ... + 26214155.

It is an arithmetic number, because the mean of its divisors is an integer number (53495396304).

Almost surely, 22211003421440 is an apocalyptic number.

2211003421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211003421440 is an abundant number, since it is smaller than the sum of its proper divisors (5492333646336).

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

2211003421440 is a wasteful number, since it uses less digits than its factorization.

2211003421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52343866 (or 52343852 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2211003421440 its reverse (441243001122), we get a palindrome (2652246422562).

The spelling of 2211003421440 in words is "two trillion, two hundred eleven billion, three million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 52343831 104687662 157031493 209375324 261719155 314062986 418750648 523438310 575782141 628125972 785157465 837501296 1046876620 1151564282 1256251944 1570314930 1675002592 1727346423 2093753240 2303128564 2512503888 2878910705 3140629860 3350005184 3454692846 4187506480 4606257128 5025007776 5757821410 6281259720 6700010368 6909385692 8375012960 8636732115 9212514256 10050015552 11515642820 12562519440 13400020736 13818771384 16750025920 17273464230 18425028512 20100031104 23031285640 25125038880 27637542768 33500051840 34546928460 36850057024 40200062208 46062571280 50250077760 55275085536 67000103680 69093856920 73700114048 92125142560 100500155520 110550171072 138187713840 147400228096 184250285120 201000311040 221100342144 276375427680 368500570240 442200684288 552750855360 737001140480 1105501710720 2211003421440