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1452041131240 = 235741932293833
BaseRepresentation
bin10101001000010100011…
…001010101010011101000
312010210222020120011210001
4111020110121111103220
5142242240012144430
63031020344432344
7206622634653520
oct25102431252350
95123866504701
101452041131240
1150a897400467
121b54b97786b4
13a6c084c265b
14503ca060680
1527b86cde3ca
hex152146554e8

1452041131240 has 128 divisors (see below), whose sum is σ = 3744867168000. Its totient is φ = 496371161088.

The previous prime is 1452041131223. The next prime is 1452041131267. The reversal of 1452041131240 is 421311402541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1452041131199 and 1452041131208.

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 31 ways as a sum of consecutive naturals, for example, 378824364 + ... + 378828196.

It is an arithmetic number, because the mean of its divisors is an integer number (29256774750).

Almost surely, 21452041131240 is an apocalyptic number.

1452041131240 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 1452041131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872433584000).

1452041131240 is an abundant number, since it is smaller than the sum of its proper divisors (2292826036760).

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

1452041131240 is a wasteful number, since it uses less digits than its factorization.

1452041131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1452041131240 its reverse (421311402541), we get a palindrome (1873352533781).

The spelling of 1452041131240 in words is "one trillion, four hundred fifty-two billion, forty-one million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 419 838 1676 2095 2933 3229 3352 3833 4190 5866 6458 7666 8380 11732 12916 14665 15332 16145 16760 19165 22603 23464 25832 26831 29330 30664 32290 38330 45206 53662 58660 64580 76660 90412 107324 113015 117320 129160 134155 153320 180824 214648 226030 268310 452060 536620 904120 1073240 1352951 1606027 2705902 3212054 5411804 6424108 6764755 8030135 9470657 10823608 11242189 12376757 12848216 13529510 16060270 18941314 22484378 24753514 27059020 32120540 37882628 44968756 47353285 49507028 54118040 56210945 61883785 64241080 75765256 86637299 89937512 94706570 99014056 112421890 123767570 173274598 189413140 224843780 247535140 346549196 378826280 433186495 449687560 495070280 693098392 866372990 1732745980 3465491960 5185861183 10371722366 20743444732 25929305915 36301028281 41486889464 51858611830 72602056562 103717223660 145204113124 181505141405 207434447320 290408226248 363010282810 726020565620 1452041131240