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141413401400 = 235219139267727
BaseRepresentation
bin1000001110110011100…
…1010100001100111000
3111112000100021002222012
42003230321110030320
54304103312321100
6144544151545052
713134233036045
oct2035471241470
9445010232865
10141413401400
1154a781a6577
12234a708b188
131044865359b
146bb722c1cc
153a29d62135
hex20ece54338

141413401400 has 96 divisors (see below), whose sum is σ = 348581856000. Its totient is φ = 53202510720.

The previous prime is 141413401399. The next prime is 141413401421. The reversal of 141413401400 is 4104314141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394337 + ... + 662063.

It is an arithmetic number, because the mean of its divisors is an integer number (3631061000).

Almost surely, 2141413401400 is an apocalyptic number.

141413401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141413401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174290928000).

141413401400 is an abundant number, since it is smaller than the sum of its proper divisors (207168454600).

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

141413401400 is a wasteful number, since it uses less digits than its factorization.

141413401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267901 (or 267892 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 141413401400 its reverse (4104314141), we get a palindrome (145517715541).

The spelling of 141413401400 in words is "one hundred forty-one billion, four hundred thirteen million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 139 152 190 200 278 380 475 556 695 760 950 1112 1390 1900 2641 2780 3475 3800 5282 5560 6950 10564 13205 13900 21128 26410 27800 52820 66025 105640 132050 264100 267727 528200 535454 1070908 1338635 2141816 2677270 5086813 5354540 6693175 10173626 10709080 13386350 20347252 25434065 26772700 37214053 40694504 50868130 53545400 74428106 101736260 127170325 148856212 186070265 203472520 254340650 297712424 372140530 508681300 707067007 744281060 930351325 1017362600 1414134014 1488562120 1860702650 2828268028 3535335035 3721405300 5656536056 7070670070 7442810600 14141340140 17676675175 28282680280 35353350350 70706700700 141413401400