Search a number
-
+
141322451501344 = 25172127120326039
BaseRepresentation
bin100000001000100000110010…
…100001010100000100100000
3200112101021221122001102201011
4200020200302201110010200
5122010411340041020334
61220322345444150304
741524132043420551
oct4010406241240440
9615337848042634
10141322451501344
1141036573670723
1213a252a3098394
1360b185b060c79
1426c8086586328
1511511c44c8564
hex808832854120

141322451501344 has 72 divisors (see below), whose sum is σ = 297884920273920. Its totient is φ = 65981023589376.

The previous prime is 141322451501339. The next prime is 141322451501347. The reversal of 141322451501344 is 443105154223141.

It is a junction number, because it is equal to n+sod(n) for n = 141322451501297 and 141322451501306.

It is not an unprimeable number, because it can be changed into a prime (141322451501347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58988524 + ... + 61337515.

It is an arithmetic number, because the mean of its divisors is an integer number (4137290559360).

Almost surely, 2141322451501344 is an apocalyptic number.

It is an amenable number.

141322451501344 is an abundant number, since it is smaller than the sum of its proper divisors (156562468772576).

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

141322451501344 is a wasteful number, since it uses less digits than its factorization.

141322451501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120326210 (or 120326185 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 141322451501344 in words is "one hundred forty-one trillion, three hundred twenty-two billion, four hundred fifty-one million, five hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 289 508 544 578 1016 1156 2032 2159 2312 4064 4318 4624 8636 9248 17272 34544 36703 69088 73406 146812 293624 587248 1174496 120326039 240652078 481304156 962608312 1925216624 2045542663 3850433248 4091085326 8182170652 15281406953 16364341304 30562813906 32728682608 34774225271 61125627812 65457365216 69548450542 122251255624 139096901084 244502511248 259783918201 278193802168 489005022496 519567836402 556387604336 1039135672804 1112775208672 2078271345608 4156542691216 4416326609417 8313085382432 8832653218834 17665306437668 35330612875336 70661225750672 141322451501344