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5144402000 = 245319331409
BaseRepresentation
bin1001100101010000…
…10101100001010000
3111021112002200212102
410302220111201100
541013431331000
62210250215532
7241324460363
oct46250254120
914245080772
105144402000
1121aa976401
12bb6a245a8
1363ca4a76a
1436b3300da
1520197c3d5
hex132a15850

5144402000 has 160 divisors (see below), whose sum is σ = 13165526400. Its totient is φ = 1938816000.

The previous prime is 5144401993. The next prime is 5144402009. The reversal of 5144402000 is 2044415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144402009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12577796 + ... + 12578204.

It is an arithmetic number, because the mean of its divisors is an integer number (82284540).

Almost surely, 25144402000 is an apocalyptic number.

5144402000 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 5144402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582763200).

5144402000 is an abundant number, since it is smaller than the sum of its proper divisors (8021124400).

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

5144402000 is a wasteful number, since it uses less digits than its factorization.

5144402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5144402000 is about 71724.4867531306. The cubic root of 5144402000 is about 1726.2815653210.

Adding to 5144402000 its reverse (2044415), we get a palindrome (5146446415).

The spelling of 5144402000 in words is "five billion, one hundred forty-four million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 331 380 400 409 475 500 662 760 818 950 1000 1324 1520 1636 1655 1900 2000 2045 2375 2648 3272 3310 3800 4090 4750 5296 6289 6544 6620 7600 7771 8180 8275 9500 10225 12578 13240 15542 16360 16550 19000 20450 25156 26480 31084 31445 32720 33100 38000 38855 40900 41375 50312 51125 62168 62890 66200 77710 81800 82750 100624 102250 124336 125780 132400 135379 155420 157225 163600 165500 194275 204500 251560 270758 310840 314450 331000 388550 409000 503120 541516 621680 628900 662000 676895 777100 786125 818000 971375 1083032 1257800 1353790 1554200 1572250 1942750 2166064 2515600 2572201 2707580 3108400 3144500 3384475 3885500 5144402 5415160 6289000 6768950 7771000 10288804 10830320 12578000 12861005 13537900 15542000 16922375 20577608 25722010 27075800 33844750 41155216 51444020 54151600 64305025 67689500 102888040 128610050 135379000 205776080 257220100 270758000 321525125 514440200 643050250 1028880400 1286100500 2572201000 5144402000