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4022031134040 = 2335192960829267
BaseRepresentation
bin111010100001110011101…
…111001010110101011000
3112020111120021011021021120
4322201303233022311120
51011344104432242130
612315410125405240
7563403452362443
oct72416357126530
915214507137246
104022031134040
1113108087a2767
1254b5b6109820
1323237822b91a
14dc94b2a665a
156e9501d8910
hex3a873bcad58

4022031134040 has 128 divisors (see below), whose sum is σ = 13139121888000. Its totient is φ = 981054402048.

The previous prime is 4022031133999. The next prime is 4022031134041. The reversal of 4022031134040 is 404311302204.

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 4022031134040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022031134041) 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, 30348514 + ... + 30480753.

It is an arithmetic number, because the mean of its divisors is an integer number (102649389750).

Almost surely, 24022031134040 is an apocalyptic number.

4022031134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022031134040 is an abundant number, since it is smaller than the sum of its proper divisors (9117090753960).

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

4022031134040 is a wasteful number, since it uses less digits than its factorization.

4022031134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60829329 (or 60829325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4022031134040 its reverse (404311302204), we get a palindrome (4426342436244).

The spelling of 4022031134040 in words is "four trillion, twenty-two billion, thirty-one million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3306 3480 4408 5510 6612 8265 11020 13224 16530 22040 33060 66120 60829267 121658534 182487801 243317068 304146335 364975602 486634136 608292670 729951204 912439005 1155756073 1216585340 1459902408 1764048743 1824878010 2311512146 2433170680 3467268219 3528097486 3649756020 4623024292 5292146229 5778780365 6934536438 7056194972 7299512040 8820243715 9246048584 10584292458 11557560730 13869072876 14112389944 17336341095 17640487430 21168584916 23115121460 26460731145 27738145752 33516926117 34672682190 35280974860 42337169832 46230242920 52921462290 67033852234 69345364380 70561949720 100550778351 105842924580 134067704468 138690728760 167584630585 201101556702 211685849160 268135408936 335169261170 402203113404 502753891755 670338522340 804406226808 1005507783510 1340677044680 2011015567020 4022031134040