Search a number
-
+
53540245551144 = 233111991627626377
BaseRepresentation
bin11000010110001110011110…
…10100010011100000101000
321000120101201202202002011210
430023013033110103200220
524004200410330114034
6305512014345553120
714164104124201122
oct1413071724234050
9230511652662153
1053540245551144
1116072321905530
12600855baa57a0
1323b4a92298921
14d3150c770212
1562ca883248e9
hex30b1cf513828

53540245551144 has 128 divisors (see below), whose sum is σ = 146843047296000. Its totient is φ = 16132840035840.

The previous prime is 53540245551119. The next prime is 53540245551167. The reversal of 53540245551144 is 44115554204535.

It is a junction number, because it is equal to n+sod(n) for n = 53540245551093 and 53540245551102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85162884 + ... + 85789260.

It is an arithmetic number, because the mean of its divisors is an integer number (1147211307000).

Almost surely, 253540245551144 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 53540245551144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421523648000).

53540245551144 is an abundant number, since it is smaller than the sum of its proper divisors (93302801744856).

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

53540245551144 is a wasteful number, since it uses less digits than its factorization.

53540245551144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628223 (or 628219 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 48.

Adding to 53540245551144 its reverse (44115554204535), we get a palindrome (97655799755679).

The spelling of 53540245551144 in words is "fifty-three trillion, five hundred forty billion, two hundred forty-five million, five hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 1627 2189 2388 3254 4378 4776 4881 6508 6567 8756 9762 13016 13134 17512 17897 19524 26268 35794 39048 52536 53691 71588 107382 143176 214764 323773 429528 626377 647546 971319 1252754 1295092 1879131 1942638 2505508 2590184 3561503 3758262 3885276 5011016 6890147 7123006 7516524 7770552 10684509 13780294 14246012 15033048 20670441 21369018 27560588 28492024 41340882 42738036 55121176 82681764 85476072 124649023 165363528 249298046 373947069 498596092 747894138 997192184 1019115379 1371139253 1495788276 2038230758 2742278506 2991576552 3057346137 4076461516 4113417759 5484557012 6114692274 8152923032 8226835518 10969114024 11210269169 12229384548 16453671036 22420538338 24458769096 32907342072 33630807507 44841076676 67261615014 89682153352 134523230028 202803960421 269046460056 405607920842 608411881263 811215841684 1216823762526 1622431683368 2230843564631 2433647525052 4461687129262 4867295050104 6692530693893 8923374258524 13385061387786 17846748517048 26770122775572 53540245551144