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5144125440 = 2133541863
BaseRepresentation
bin1001100101001110…
…10010000000000000
3111021111120122111110
410302213102000000
541013344003230
62210240243320
7241322226156
oct46247220000
914244518443
105144125440
1121aa7a7643
12bb6910540
1363c98190c
1436b29b3d6
152019254b0
hex1329d2000

5144125440 has 112 divisors (see below), whose sum is σ = 16460589888. Its totient is φ = 1371734016.

The previous prime is 5144125439. The next prime is 5144125447. The reversal of 5144125440 is 445214415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5144125398 and 5144125407.

It is not an unprimeable number, because it can be changed into a prime (5144125447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101949 + ... + 143811.

Almost surely, 25144125440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230294944).

5144125440 is an abundant number, since it is smaller than the sum of its proper divisors (11316464448).

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

5144125440 is an equidigital number, since it uses as much as digits as its factorization.

5144125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41897 (or 41873 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 5144125440 is about 71722.5587942873. The cubic root of 5144125440 is about 1726.2506301423.

Adding to 5144125440 its reverse (445214415), we get a palindrome (5589339855).

The spelling of 5144125440 in words is "five billion, one hundred forty-four million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 40960 41863 61440 83726 122880 125589 167452 209315 251178 334904 418630 502356 627945 669808 837260 1004712 1255890 1339616 1674520 2009424 2511780 2679232 3349040 4018848 5023560 5358464 6698080 8037696 10047120 10716928 13396160 16075392 20094240 21433856 26792320 32150784 40188480 42867712 53584640 64301568 80376960 85735424 107169280 128603136 160753920 171470848 214338560 257206272 321507840 342941696 428677120 514412544 643015680 857354240 1028825088 1286031360 1714708480 2572062720 5144125440