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1042201440 = 253257103393
BaseRepresentation
bin111110000111101…
…011101101100000
32200122002022121100
4332013223231200
54113300421230
6251225554400
734553365110
oct7607535540
92618068540
101042201440
11495328405
12251045a00
13137bc4a57
149c5b5040
156176a660
hex3e1ebb60

1042201440 has 144 divisors (see below), whose sum is σ = 4064624928. Its totient is φ = 238215168.

The previous prime is 1042201399. The next prime is 1042201463. The reversal of 1042201440 is 441022401.

1042201440 is a `hidden beast` number, since 1 + 0 + 4 + 220 + 1 + 440 = 666.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41617 + ... + 61776.

It is an arithmetic number, because the mean of its divisors is an integer number (28226562).

Almost surely, 21042201440 is an apocalyptic number.

1042201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042201440 is an abundant number, since it is smaller than the sum of its proper divisors (3022423488).

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

1042201440 is a wasteful number, since it uses less digits than its factorization.

1042201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103421 (or 103410 counting only the distinct ones).

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

The square root of 1042201440 is about 32283.1448282227. The cubic root of 1042201440 is about 1013.8737748881.

Adding to 1042201440 its reverse (441022401), we get a palindrome (1483223841).

The spelling of 1042201440 in words is "one billion, forty-two million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 103393 206786 310179 413572 516965 620358 723751 827144 930537 1033930 1240716 1447502 1550895 1654288 1861074 2067860 2171253 2481432 2895004 3101790 3308576 3618755 3722148 4135720 4342506 4652685 4962864 5790008 6203580 6513759 7237510 7444296 8271440 8685012 9305370 9925728 10856265 11580016 12407160 13027518 14475020 14888592 16542880 17370024 18610740 21712530 23160032 24814320 26055036 28950040 29777184 32568795 34740048 37221480 43425060 49628640 52110072 57900080 65137590 69480096 74442960 86850120 104220144 115800160 130275180 148885920 173700240 208440288 260550360 347400480 521100720 1042201440