Search a number
-
+
382478144840 = 235114194122531
BaseRepresentation
bin1011001000011010111…
…10010101010101001000
31100120020120002220101022
411210031132111111020
522231303401113330
6451412534012012
736430110406121
oct5441536252510
91316216086338
10382478144840
11138231a3a270
12621631a7008
132a0b54b01cc
141472507d048
159e384dcae5
hex590d795548

382478144840 has 128 divisors (see below), whose sum is σ = 962772531840. Its totient is φ = 135540480000.

The previous prime is 382478144833. The next prime is 382478144869. The reversal of 382478144840 is 48441874283.

It is a happy number.

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, 16964375 + ... + 16986905.

It is an arithmetic number, because the mean of its divisors is an integer number (7521660405).

Almost surely, 2382478144840 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 382478144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481386265920).

382478144840 is an abundant number, since it is smaller than the sum of its proper divisors (580294387000).

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

382478144840 is a wasteful number, since it uses less digits than its factorization.

382478144840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23535 (or 23531 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 53.

The spelling of 382478144840 in words is "three hundred eighty-two billion, four hundred seventy-eight million, one hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 941 1640 1804 1882 2255 3608 3764 4510 4705 7528 9020 9410 10351 18040 18820 20702 22531 37640 38581 41404 45062 51755 77162 82808 90124 103510 112655 154324 180248 192905 207020 225310 247841 308648 385810 414040 424391 450620 495682 771620 848782 901240 923771 991364 1239205 1543240 1697564 1847542 1982728 2121955 2478410 3395128 3695084 4243910 4618855 4956820 7390168 8487820 9237710 9913640 10161481 16975640 18475420 20322962 21201671 36950840 40645924 42403342 50807405 81291848 84806684 101614810 106008355 169613368 203229620 212016710 233218381 406459240 424033420 466436762 848066840 869268511 932873524 1166091905 1738537022 1865747048 2332183810 3477074044 4346342555 4664367620 6954148088 8692685110 9328735240 9561953621 17385370220 19123907242 34770740440 38247814484 47809768105 76495628968 95619536210 191239072420 382478144840