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154344236440 = 23567539910667
BaseRepresentation
bin1000111110111110100…
…0100010010110011000
3112202101111220120221111
42033233220202112120
510012044111031230
6154523232350104
714102536235422
oct2175750422630
9482344816844
10154344236440
115a5033302a9
1225ab56a5334
13117295b9874
147682711812
1540351a092a
hex23efa22598

154344236440 has 64 divisors (see below), whose sum is σ = 352556064000. Its totient is φ = 60799271808.

The previous prime is 154344236437. The next prime is 154344236489. The reversal of 154344236440 is 44632443451.

154344236440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 154344236393 and 154344236402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14463987 + ... + 14474653.

It is an arithmetic number, because the mean of its divisors is an integer number (5508688500).

Almost surely, 2154344236440 is an apocalyptic number.

154344236440 is a gapful number since it is divisible by the number (10) 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 154344236440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176278032000).

154344236440 is an abundant number, since it is smaller than the sum of its proper divisors (198211827560).

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

154344236440 is a wasteful number, since it uses less digits than its factorization.

154344236440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 154344236440 its reverse (44632443451), we get a palindrome (198976679891).

The spelling of 154344236440 in words is "one hundred fifty-four billion, three hundred forty-four million, two hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 5399 10667 10798 21334 21596 26995 42668 43192 53335 53990 85336 106670 107980 213340 215960 361733 426680 714689 723466 1429378 1446932 1808665 2858756 2893864 3573445 3617330 5717512 7146890 7234660 14293780 14469320 28587560 57591133 115182266 230364532 287955665 460729064 575911330 1151822660 2303645320 3858605911 7717211822 15434423644 19293029555 30868847288 38586059110 77172118220 154344236440