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404041140 = 2232547163293
BaseRepresentation
bin11000000101010…
…010110110110100
31001011021102020200
4120011102312310
51311413304030
6104032000500
713004202336
oct3005226664
91034242220
10404041140
111980860a8
12b3390130
1365927ac9
143b937456
1525710d60
hex18152db4

404041140 has 144 divisors (see below), whose sum is σ = 1263644928. Its totient is φ = 104447232.

The previous prime is 404041123. The next prime is 404041153. The reversal of 404041140 is 41140404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1378834 + ... + 1379126.

It is an arithmetic number, because the mean of its divisors is an integer number (8775312).

Almost surely, 2404041140 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 404041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631822464).

404041140 is an abundant number, since it is smaller than the sum of its proper divisors (859603788).

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

404041140 is a wasteful number, since it uses less digits than its factorization.

404041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404041140 is about 20100.7746119397. The cubic root of 404041140 is about 739.2792714854.

Adding to 404041140 its reverse (41140404), we get a palindrome (445181544).

The spelling of 404041140 in words is "four hundred four million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 163 180 188 235 282 293 326 423 470 489 564 586 652 705 815 846 879 940 978 1172 1410 1465 1467 1630 1692 1758 1956 2115 2445 2637 2820 2930 2934 3260 3516 4230 4395 4890 5274 5860 5868 7335 7661 8460 8790 9780 10548 13185 13771 14670 15322 17580 22983 26370 27542 29340 30644 38305 41313 45966 47759 52740 55084 68855 68949 76610 82626 91932 95518 114915 123939 137710 137898 143277 153220 165252 191036 206565 229830 238795 247878 275420 275796 286554 344745 413130 429831 459660 477590 495756 573108 619695 689490 716385 826260 859662 955180 1239390 1378980 1432770 1719324 2149155 2244673 2478780 2865540 4298310 4489346 6734019 8596620 8978692 11223365 13468038 20202057 22446730 26936076 33670095 40404114 44893460 67340190 80808228 101010285 134680380 202020570 404041140