Search a number
-
+
255410051143344 = 24311515178789269
BaseRepresentation
bin111010000100101101001001…
…010111101101011010110000
31020111022221222121110210201120
4322010231021113231122300
5231434114241043041334
62303113431354302240
7104540524111023036
oct7204551127553260
91214287877423646
10255410051143344
1174421881387029
1224790219427980
13ac690ab86a536
14470dcaba10556
151e7dc0542a949
hexe84b495ed6b0

255410051143344 has 80 divisors (see below), whose sum is σ = 660402697236480. Its totient is φ = 85060120723200.

The previous prime is 255410051143343. The next prime is 255410051143349. The reversal of 255410051143344 is 443341150014552.

255410051143344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255410051143296 and 255410051143305.

It is not an unprimeable number, because it can be changed into a prime (255410051143343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861083542 + ... + 2861172810.

It is an arithmetic number, because the mean of its divisors is an integer number (8255033715456).

Almost surely, 2255410051143344 is an apocalyptic number.

255410051143344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255410051143344 is an abundant number, since it is smaller than the sum of its proper divisors (404992646093136).

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

255410051143344 is a wasteful number, since it uses less digits than its factorization.

255410051143344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142218 (or 142212 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 255410051143344 in words is "two hundred fifty-five trillion, four hundred ten billion, fifty-one million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1151 2302 3453 4604 6906 9208 13812 18416 27624 51787 55248 89269 103574 155361 178538 207148 267807 310722 357076 414296 535614 621444 714152 828592 1071228 1242888 1428304 2142456 2485776 4284912 59606837 102748619 119213674 178820511 205497238 238427348 308245857 357641022 410994476 476854696 616491714 715282044 821988952 953709392 1232983428 1430564088 1643977904 2465966856 2861128176 4622973703 4931933712 9245947406 13868921109 18491894812 27737842218 36983789624 55475684436 73967579248 110951368872 221902737744 5321042732153 10642085464306 15963128196459 21284170928612 31926256392918 42568341857224 63852512785836 85136683714448 127705025571672 255410051143344