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1031414440 = 23578344381
BaseRepresentation
bin111101011110100…
…010001010101000
32122212210021121211
4331132202022220
54103020230230
6250202442504
734362610120
oct7536421250
92585707554
101031414440
1148a22aa31
12249503434
131358b8c04
149ada7c80
156083942a
hex3d7a22a8

1031414440 has 64 divisors (see below), whose sum is σ = 2684223360. Its totient is φ = 349359360.

The previous prime is 1031414399. The next prime is 1031414453. The reversal of 1031414440 is 444141301.

1031414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050 + ... + 45430.

It is an arithmetic number, because the mean of its divisors is an integer number (41940990).

Almost surely, 21031414440 is an apocalyptic number.

1031414440 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 1031414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342111680).

1031414440 is an abundant number, since it is smaller than the sum of its proper divisors (1652808920).

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

1031414440 is a wasteful number, since it uses less digits than its factorization.

1031414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44482 (or 44478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1031414440 is about 32115.6416719330. The cubic root of 1031414440 is about 1010.3637026255.

Adding to 1031414440 its reverse (444141301), we get a palindrome (1475555741).

The spelling of 1031414440 in words is "one billion, thirty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 44381 88762 177524 221905 310667 355048 443810 621334 887620 1242668 1553335 1775240 2485336 3106670 3683623 6213340 7367246 12426680 14734492 18418115 25785361 29468984 36836230 51570722 73672460 103141444 128926805 147344920 206282888 257853610 515707220 1031414440