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40044373344 = 25321016432141
BaseRepresentation
bin100101010010110101…
…001010010101100000
310211100202112221021200
4211102311022111200
51124002324421334
630221321521200
72615223362103
oct452265122540
9124322487250
1040044373344
1115a8a006428
127916943200
133a1231a891
141d1c43c73a
15109584e799
hex952d4a560

40044373344 has 144 divisors (see below), whose sum is σ = 115236327024. Its totient is φ = 13189248000.

The previous prime is 40044373319. The next prime is 40044373351. The reversal of 40044373344 is 44337344004.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 40044373299 and 40044373308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18702514 + ... + 18704654.

It is an arithmetic number, because the mean of its divisors is an integer number (800252271).

Almost surely, 240044373344 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 40044373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57618163512).

40044373344 is an abundant number, since it is smaller than the sum of its proper divisors (75191953680).

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

40044373344 is a wasteful number, since it uses less digits than its factorization.

40044373344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 40044373344 in words is "forty billion, forty-four million, three hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 643 808 909 1212 1286 1616 1818 1929 2141 2424 2572 3232 3636 3858 4282 4848 5144 5787 6423 7272 7716 8564 9696 10288 11574 12846 14544 15432 17128 19269 20576 23148 25692 29088 30864 34256 38538 46296 51384 61728 64943 68512 77076 92592 102768 129886 154152 185184 194829 205536 216241 259772 308304 389658 432482 519544 584487 616608 648723 779316 864964 1039088 1168974 1297446 1376663 1558632 1729928 1946169 2078176 2337948 2594892 2753326 3117264 3459856 3892338 4129989 4675896 5189784 5506652 6234528 6919712 7784676 8259978 9351792 10379568 11013304 12389967 15569352 16519956 18703584 20759136 22026608 24779934 31138704 33039912 44053216 49559868 62277408 66079824 99119736 132159648 139042963 198239472 278085926 396478944 417128889 556171852 834257778 1112343704 1251386667 1668515556 2224687408 2502773334 3337031112 4449374816 5005546668 6674062224 10011093336 13348124448 20022186672 40044373344