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1012141440 = 2733558573
BaseRepresentation
bin111100010101000…
…000110110000000
32121112112010001000
4330111000312000
54033102011230
6244233412000
734040026452
oct7425006600
92545463030
101012141440
1147a366932
12242b6a000
131318cb67b
14985cc2d2
155dccdb60
hex3c540d80

1012141440 has 128 divisors (see below), whose sum is σ = 3584728800. Its totient is φ = 269899776.

The previous prime is 1012141421. The next prime is 1012141447. The reversal of 1012141440 is 441412101.

1012141440 is a `hidden beast` number, since 10 + 1 + 214 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012141447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12007 + ... + 46566.

Almost surely, 21012141440 is an apocalyptic number.

1012141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792364400).

1012141440 is an abundant number, since it is smaller than the sum of its proper divisors (2572587360).

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

1012141440 is an equidigital number, since it uses as much as digits as its factorization.

1012141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58601 (or 58583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1012141440 is about 31814.1704276569. The cubic root of 1012141440 is about 1004.0308768672.

Adding to 1012141440 its reverse (441412101), we get a palindrome (1453553541).

The spelling of 1012141440 in words is "one billion, twelve million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 58573 117146 175719 234292 292865 351438 468584 527157 585730 702876 878595 937168 1054314 1171460 1405752 1581471 1757190 1874336 2108628 2342920 2635785 2811504 3162942 3514380 3748672 4217256 4685840 5271570 5623008 6325884 7028760 7497344 7907355 8434512 9371680 10543140 11246016 12651768 14057520 15814710 16869024 18743360 21086280 22492032 25303536 28115040 31629420 33738048 37486720 42172560 50607072 56230080 63258840 67476096 84345120 101214144 112460160 126517680 168690240 202428288 253035360 337380480 506070720 1012141440