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5445401000 = 2353133711321
BaseRepresentation
bin1010001001001001…
…00011100110101000
3112001111111000212112
411010210203212220
542123010313000
62300201501452
7251641100444
oct50444434650
915044430775
105445401000
112344872406
12107b7a1888
1368a208190
143992c3824
1521d0d7235
hex1449239a8

5445401000 has 128 divisors (see below), whose sum is σ = 14094531360. Its totient is φ = 1956096000.

The previous prime is 5445400997. The next prime is 5445401011. The reversal of 5445401000 is 1045445.

It can be written as a sum of positive squares in 16 ways, for example, as 959884324 + 4485516676 = 30982^2 + 66974^2 .

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 31 ways as a sum of consecutive naturals, for example, 475340 + ... + 486660.

Almost surely, 25445401000 is an apocalyptic number.

5445401000 is a gapful number since it is divisible by the number (50) 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 5445401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047265680).

5445401000 is an abundant number, since it is smaller than the sum of its proper divisors (8649130360).

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

5445401000 is a wasteful number, since it uses less digits than its factorization.

5445401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5445401000 is about 73792.9603688590. The cubic root of 5445401000 is about 1759.3137174510.

Adding to 5445401000 its reverse (1045445), we get a palindrome (5446446445).

The spelling of 5445401000 in words is "five billion, four hundred forty-five million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 125 130 148 185 200 250 260 296 325 370 481 500 520 650 740 925 962 1000 1300 1480 1625 1850 1924 2405 2600 3250 3700 3848 4625 4810 6500 7400 9250 9620 11321 12025 13000 18500 19240 22642 24050 37000 45284 48100 56605 60125 90568 96200 113210 120250 147173 226420 240500 283025 294346 418877 452840 481000 566050 588692 735865 837754 1132100 1177384 1415125 1471730 1675508 2094385 2264200 2830250 2943460 3351016 3679325 4188770 5445401 5660500 5886920 7358650 8377540 10471925 10890802 11321000 14717300 16755080 18396625 20943850 21781604 27227005 29434600 36793250 41887700 43563208 52359625 54454010 73586500 83775400 104719250 108908020 136135025 147173000 209438500 217816040 272270050 418877000 544540100 680675125 1089080200 1361350250 2722700500 5445401000