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8422403001144 = 23311271607193943
BaseRepresentation
bin111101010001111111001…
…0101101100101100111000
31002211011200202011010222020
41322203332111230230320
52100443040132014034
625525110514154440
71526332666200336
oct172437625545470
932734622133866
108422403001144
112757a14a16a10
12b40399882a20
134912c9706aa2
14211909d28b56
15e9145545249
hex7a8fe56cb38

8422403001144 has 128 divisors (see below), whose sum is σ = 23093051719680. Its totient is φ = 2538623203200.

The previous prime is 8422403001137. The next prime is 8422403001149. The reversal of 8422403001144 is 4411003042248.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8422403001149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43330237 + ... + 43524179.

It is an arithmetic number, because the mean of its divisors is an integer number (180414466560).

Almost surely, 28422403001144 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 8422403001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546525859840).

8422403001144 is an abundant number, since it is smaller than the sum of its proper divisors (14670648718536).

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

8422403001144 is a wasteful number, since it uses less digits than its factorization.

8422403001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194841 (or 194837 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 8422403001144 in words is "eight trillion, four hundred twenty-two billion, four hundred three million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 607 813 1084 1214 1626 1821 2168 2428 2981 3252 3642 4856 5962 6504 6677 7284 8943 11924 13354 14568 17886 20031 23848 26708 35772 40062 53416 71544 80124 160248 164497 193943 328994 387886 493491 581829 657988 775772 986982 1163658 1315976 1551544 1809467 1973964 2133373 2327316 3618934 3947928 4266746 4654632 5428401 6400119 7237868 8533492 10856802 12800238 14475736 17066984 21713604 25600476 43427208 51200952 52558553 105117106 117723401 157675659 210234212 235446802 315351318 353170203 420468424 470893604 578144083 630702636 706340406 941787208 1156288166 1261405272 1294957411 1412680812 1734432249 2312576332 2589914822 2825361624 3468864498 3884872233 4625152664 5179829644 6937728996 7769744466 10359659288 13875457992 15539488932 31078977864 31903041671 63806083342 95709125013 127612166684 191418250026 255224333368 350933458381 382836500052 701866916762 765673000104 1052800375143 1403733833524 2105600750286 2807467667048 4211201500572 8422403001144