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942141440 = 2125179257
BaseRepresentation
bin111000001001111…
…111000000000000
32102122210202002102
4320021333000000
53412142011230
6233253205532
732230033022
oct7011770000
92378722072
10942141440
114438a5899
122236308a8
1312025cb56
148d1aa012
1557aa3045
hex3827f000

942141440 has 104 divisors (see below), whose sum is σ = 2282340240. Its totient is φ = 373293056.

The previous prime is 942141437. The next prime is 942141463. The reversal of 942141440 is 44141249.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3665792 + ... + 3666048.

Almost surely, 2942141440 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 942141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141170120).

942141440 is an abundant number, since it is smaller than the sum of its proper divisors (1340198800).

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

942141440 is a wasteful number, since it uses less digits than its factorization.

942141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 942141440 is about 30694.3226020709. The cubic root of 942141440 is about 980.3294186191.

Adding to 942141440 its reverse (44141249), we get a palindrome (986282689).

The spelling of 942141440 in words is "nine hundred forty-two million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 257 320 358 512 514 640 716 895 1024 1028 1280 1285 1432 1790 2048 2056 2560 2570 2864 3580 4096 4112 5120 5140 5728 7160 8224 10240 10280 11456 14320 16448 20480 20560 22912 28640 32896 41120 45824 46003 57280 65792 82240 91648 92006 114560 131584 164480 183296 184012 229120 230015 263168 328960 366592 368024 458240 460030 526336 657920 733184 736048 916480 920060 1052672 1315840 1472096 1832960 1840120 2631680 2944192 3665920 3680240 5263360 5888384 7360480 11776768 14720960 23553536 29441920 47107072 58883840 94214144 117767680 188428288 235535360 471070720 942141440