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141052303420144 = 241719175110093583
BaseRepresentation
bin100000000100100101001100…
…011100001010101011110000
3200111102110122112210000010021
4200010211030130022223300
5121442000104133421034
61215554311133213224
741465456366545354
oct4004451434125360
9614373575700107
10141052303420144
1140a41a450668a6
12139a0a6b031214
136092237a1aa4c
1426b8d79d43464
1511491629426b4
hex80494c70aaf0

141052303420144 has 160 divisors (see below), whose sum is σ = 291637014036480. Its totient is φ = 65858365440000.

The previous prime is 141052303420129. The next prime is 141052303420159. The reversal of 141052303420144 is 441024303250141.

It is an interprime number because it is at equal distance from previous prime (141052303420129) and next prime (141052303420159).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 39367093777 + ... + 39367097359.

It is an arithmetic number, because the mean of its divisors is an integer number (1822731337728).

Almost surely, 2141052303420144 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 141052303420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145818507018240).

141052303420144 is an abundant number, since it is smaller than the sum of its proper divisors (150584710616336).

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

141052303420144 is a wasteful number, since it uses less digits than its factorization.

141052303420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 141052303420144 its reverse (441024303250141), we get a palindrome (582076606670285).

The spelling of 141052303420144 in words is "one hundred forty-one trillion, fifty-two billion, three hundred three million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 191 272 382 751 764 1009 1502 1528 2018 3004 3056 3247 3583 4036 6008 6494 7166 8072 12016 12767 12988 14332 16144 17153 25534 25976 28664 34306 51068 51952 57328 60911 68612 102136 121822 137224 143441 192719 204272 243644 274448 286882 385438 487288 573764 684353 757759 770876 974576 1147528 1368706 1515518 1541752 2295056 2438497 2690833 2737412 3031036 3083504 3276223 3615247 4876994 5381666 5474824 6062072 6552446 7230494 9753988 10763332 10949648 11634001 12124144 12881903 13104892 14460988 19507976 21526664 23268002 25763806 26209784 28921976 39015952 43053328 45744161 46536004 51527612 52419568 57843952 61459199 91488322 93072008 103055224 122918398 144731969 182976644 186144016 206110448 245836796 289463938 365953288 491673592 513949103 578927876 690512177 731906576 983347184 1027898206 1157855752 1381024354 2055796412 2315711504 2460443473 2715050497 2762048708 4111592824 4920886946 5430100994 5524097416 8223185648 8737134751 9841773892 10860201988 11048194832 11738707009 17474269502 19683547784 21720403976 23477414018 34948539004 39367095568 43440807952 46155858449 46954828036 69897078008 92311716898 93909656072 139794156016 184623433796 187819312144 369246867592 518574644927 738493735184 1037149289854 2074298579708 4148597159416 8297194318832 8815768963759 17631537927518 35263075855036 70526151710072 141052303420144