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4330133144244 = 2232718997719483
BaseRepresentation
bin111111000000110000000…
…011000100001010110100
3120022221211102110001121200
4333000300003010022310
51031421103041103434
613113122525012500
7624561510302115
oct77006003041264
916287742401550
104330133144244
11141a443301166
1259b2609b4130
132554397690bb
1410d81846820c
1577983ce3199
hex3f0300c42b4

4330133144244 has 144 divisors (see below), whose sum is σ = 11236559967360. Its totient is φ = 1405546813440.

The previous prime is 4330133144159. The next prime is 4330133144299. The reversal of 4330133144244 is 4424413310334.

4330133144244 is a `hidden beast` number, since 4 + 330 + 1 + 3 + 314 + 4 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4330133144199 and 4330133144208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222242127 + ... + 222261609.

It is an arithmetic number, because the mean of its divisors is an integer number (78031666440).

Almost surely, 24330133144244 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 4330133144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618279983680).

4330133144244 is an abundant number, since it is smaller than the sum of its proper divisors (6906426823116).

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

4330133144244 is a wasteful number, since it uses less digits than its factorization.

4330133144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20630 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4330133144244 its reverse (4424413310334), we get a palindrome (8754546454578).

The spelling of 4330133144244 in words is "four trillion, three hundred thirty billion, one hundred thirty-three million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 89 142 178 213 267 284 356 426 534 639 801 852 977 1068 1278 1602 1954 2556 2931 3204 3908 5862 6319 8793 11724 12638 17586 18957 19483 25276 35172 37914 38966 56871 58449 69367 75828 77932 86953 113742 116898 138734 173906 175347 208101 227484 233796 260859 277468 347812 350694 416202 521718 624303 701388 782577 832404 1043436 1248606 1383293 1565154 1733987 2497212 2766586 3130308 3467974 4149879 5201961 5533172 6173663 6935948 8299758 10403922 12347326 12449637 15605883 16599516 18520989 19034891 20807844 24694652 24899274 31211766 37041978 38069782 49798548 55562967 57104673 62423532 74083956 76139564 111125934 114209346 123113077 171314019 222251868 228418692 246226154 342628038 369339231 492452308 685256076 738678462 1108017693 1351477261 1477356924 1694105299 2216035386 2702954522 3388210598 4054431783 4432070772 5082315897 5405909044 6776421196 8108863566 10164631794 12163295349 15246947691 16217727132 20329263588 24326590698 30493895382 48653181396 60987790764 120281476229 240562952458 360844428687 481125904916 721688857374 1082533286061 1443377714748 2165066572122 4330133144244