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244120133040 = 24357557260879
BaseRepresentation
bin1110001101011010110…
…0011001110110110000
3212100010011002122222220
43203112230121312300
512444424223224130
6304051445401040
723431344615330
oct3432654316660
9770104078886
10244120133040
11945924a6173
123b38b409180
131a035b65784
14bb5b9550c0
15653ba11410
hex38d6b19db0

244120133040 has 160 divisors (see below), whose sum is σ = 866438830080. Its totient is φ = 55698496512.

The previous prime is 244120133039. The next prime is 244120133057. The reversal of 244120133040 is 40331021442.

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 244120133040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805321 + ... + 1066199.

It is an arithmetic number, because the mean of its divisors is an integer number (5415242688).

Almost surely, 2244120133040 is an apocalyptic number.

244120133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244120133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433219415040).

244120133040 is an abundant number, since it is smaller than the sum of its proper divisors (622318697040).

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

244120133040 is a wasteful number, since it uses less digits than its factorization.

244120133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261459 (or 261453 counting only the distinct ones).

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

Adding to 244120133040 its reverse (40331021442), we get a palindrome (284451154482).

The spelling of 244120133040 in words is "two hundred forty-four billion, one hundred twenty million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 557 560 840 1114 1671 1680 2228 2785 3342 3899 4456 5570 6684 7798 8355 8912 11140 11697 13368 15596 16710 19495 22280 23394 26736 31192 33420 38990 44560 46788 58485 62384 66840 77980 93576 116970 133680 155960 187152 233940 260879 311920 467880 521758 782637 935760 1043516 1304395 1565274 1826153 2087032 2608790 3130548 3652306 3913185 4174064 5217580 5478459 6261096 7304612 7826370 9130765 10435160 10956918 12522192 14609224 15652740 18261530 20870320 21913836 27392295 29218448 31305480 36523060 43827672 54784590 62610960 73046120 87655344 109569180 145309603 146092240 219138360 290619206 435928809 438276720 581238412 726548015 871857618 1017167221 1162476824 1453096030 1743715236 2034334442 2179644045 2324953648 2906192060 3051501663 3487430472 4068668884 4359288090 5085836105 5812384120 6103003326 6974860944 8137337768 8718576180 10171672210 11624768240 12206006652 15257508315 16274675536 17437152360 20343344420 24412013304 30515016630 34874304720 40686688840 48824026608 61030033260 81373377680 122060066520 244120133040