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22143003133440 = 29357411886219
BaseRepresentation
bin1010000100011100100011…
…10101100000011000000000
32220101211221221221012222110
411002032101311200120000
510400242332300232230
6115032204420335320
74443531155062230
oct502162165403000
986354857835873
1022143003133440
117067882002622
122597566b44540
13c480cb64a917
14567a27119cc0
15285ecc5474b0
hex142391d60600

22143003133440 has 160 divisors (see below), whose sum is σ = 80901043787520. Its totient is φ = 5061257846784.

The previous prime is 22143003133397. The next prime is 22143003133457. The reversal of 22143003133440 is 4433130034122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22143003133398 and 22143003133407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205889350 + ... + 205996869.

It is an arithmetic number, because the mean of its divisors is an integer number (505631523672).

Almost surely, 222143003133440 is an apocalyptic number.

22143003133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22143003133440 is an abundant number, since it is smaller than the sum of its proper divisors (58758040654080).

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

22143003133440 is an equidigital number, since it uses as much as digits as its factorization.

22143003133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411886252 (or 411886236 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 22143003133440 its reverse (4433130034122), we get a palindrome (26576133167562).

The spelling of 22143003133440 in words is "twenty-two trillion, one hundred forty-three billion, three million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 411886219 823772438 1235658657 1647544876 2059431095 2471317314 2883203533 3295089752 4118862190 4942634628 5766407066 6178293285 6590179504 8237724380 8649610599 9885269256 11532814132 12356586570 13180359008 14416017665 16475448760 17299221198 19770538512 23065628264 24713173140 26360718016 28832035330 32950897520 34598442396 39541077024 43248052995 46131256528 49426346280 52721436032 57664070660 65901795040 69196884792 79082154048 86496105990 92262513056 98852692560 105442872064 115328141320 131803590080 138393769584 158164308096 172992211980 184525026112 197705385120 210885744128 230656282640 263607180160 276787539168 316328616192 345984423960 369050052224 395410770240 461312565280 527214360320 553575078336 632657232384 691968847920 738100104448 790821540480 922625130560 1054428720640 1107150156672 1383937695840 1476200208896 1581643080960 1845250261120 2214300313344 2767875391680 3163286161920 3690500522240 4428600626688 5535750783360 7381001044480 11071501566720 22143003133440