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141142402401 = 3711131732631033
BaseRepresentation
bin1000001101110010111…
…1100010010101100001
3111111022110022221020020
42003130233202111201
54303024423334101
6144501231304053
713124432424360
oct2033457422541
9444273287206
10141142402401
115494922aa60
122343037b029
131040446ab50
146b8d2477d7
153a11181136
hex20dcbe2561

141142402401 has 128 divisors (see below), whose sum is σ = 255348301824. Its totient is φ = 66968709120.

The previous prime is 141142402399. The next prime is 141142402517. The reversal of 141142402401 is 104204241141.

It is not a de Polignac number, because 141142402401 - 21 = 141142402399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141142402001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136632981 + ... + 136634013.

It is an arithmetic number, because the mean of its divisors is an integer number (1994908608).

Almost surely, 2141142402401 is an apocalyptic number.

141142402401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141142402401 is a deficient number, since it is larger than the sum of its proper divisors (114205899423).

141142402401 is a wasteful number, since it uses less digits than its factorization.

141142402401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141142402401 its reverse (104204241141), we get a palindrome (245346643542).

It can be divided in two parts, 14114240 and 2401, that added together give a triangular number (14116641 = T5313).

The spelling of 141142402401 in words is "one hundred forty-one billion, one hundred forty-two million, four hundred two thousand, four hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 173 231 263 273 429 519 789 1001 1033 1211 1841 1903 2249 2893 3003 3099 3419 3633 5523 5709 6747 7231 8679 10257 11363 13321 13429 15743 20251 21693 23933 24739 34089 37609 39963 40287 45499 47229 60753 71799 74217 79541 94003 112827 136497 147719 173173 178709 238623 263263 271679 282009 318493 443157 500489 519519 536127 591487 789789 815037 955479 1034033 1250963 1501467 1774461 1901753 1965799 2323217 2988469 3102099 3503423 3531827 3752889 4140409 5705259 5897397 6506357 6969651 8965407 10510269 10595481 12421227 13760593 16262519 19519071 20919283 24722789 25555387 38850097 41281779 45544499 47000467 48787557 62757849 74168367 76666161 116550291 136633497 141001401 178887709 271950679 329003269 517005137 536663127 611006071 815852037 987009807 1551015411 1833018213 3619035959 4277042497 6721066781 10857107877 12831127491 20163200343 47047467467 141142402401