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5302432214144 = 271373179243863
BaseRepresentation
bin100110100101001000110…
…0101101010110010000000
3200202220111121200102201122
41031022101211222302000
51143333340121323034
615135523112251412
71055042133111032
oct115122145526200
920686447612648
105302432214144
11176482682929a
127177919a0b68
132c602ba7a530
141448d3931c52
1592ddd6bb62e
hex4d29196ac80

5302432214144 has 128 divisors (see below), whose sum is σ = 11596318473600. Its totient is φ = 2400257581056.

The previous prime is 5302432214087. The next prime is 5302432214171. The reversal of 5302432214144 is 4414122342035.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 21621557 + ... + 21865419.

It is an arithmetic number, because the mean of its divisors is an integer number (90596238075).

Almost surely, 25302432214144 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 5302432214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798159236800).

5302432214144 is an abundant number, since it is smaller than the sum of its proper divisors (6293886259456).

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

5302432214144 is a wasteful number, since it uses less digits than its factorization.

5302432214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244142 (or 244130 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 5302432214144 its reverse (4414122342035), we get a palindrome (9716554556179).

The spelling of 5302432214144 in words is "five trillion, three hundred two billion, four hundred thirty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 179 208 292 358 416 584 716 832 949 1168 1432 1664 1898 2327 2336 2864 3796 4654 4672 5728 7592 9308 9344 11456 13067 15184 18616 22912 26134 30368 37232 52268 60736 74464 104536 121472 148928 169871 209072 243863 297856 339742 418144 487726 679484 836288 975452 1358968 1672576 1950904 2717936 3170219 3901808 5435872 6340438 7803616 10871744 12680876 15607232 17801999 21743488 25361752 31214464 35603998 43651477 50723504 71207996 87302954 101447008 142415992 174605908 202894016 231425987 284831984 349211816 405788032 462851974 567469201 569663968 698423632 925703948 1134938402 1139327936 1396847264 1851407896 2269876804 2278655872 2793694528 3186557821 3702815792 4539753608 5587389056 6373115642 7405631584 9079507216 12746231284 14811263168 18159014432 25492462568 29622526336 36318028864 41425251673 50984925136 72636057728 82850503346 101969850272 165701006692 203939700544 331402013384 407879401088 662804026768 1325608053536 2651216107072 5302432214144