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141431276600 = 23521957916427
BaseRepresentation
bin1000001110110111110…
…1100000010000111000
3111112001120220021010122
42003231331200100320
54304122401322400
6144550031032412
713134541005245
oct2035575402070
9445046807118
10141431276600
1154a872a5469
12234b106b708
131044c271823
146bb97625cc
153a2b6e3685
hex20edf60438

141431276600 has 96 divisors (see below), whose sum is σ = 346248076800. Its totient is φ = 53577417600.

The previous prime is 141431276587. The next prime is 141431276627. The reversal of 141431276600 is 6672134141.

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, 22002587 + ... + 22009013.

It is an arithmetic number, because the mean of its divisors is an integer number (3606750800).

Almost surely, 2141431276600 is an apocalyptic number.

141431276600 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 141431276600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173124038400).

141431276600 is an abundant number, since it is smaller than the sum of its proper divisors (204816800200).

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

141431276600 is a wasteful number, since it uses less digits than its factorization.

141431276600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 141431276600 in words is "one hundred forty-one billion, four hundred thirty-one million, two hundred seventy-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5791 6427 11582 12854 23164 25708 28955 32135 46328 51416 57910 64270 110029 115820 122113 128540 144775 160675 220058 231640 244226 257080 289550 321350 440116 488452 550145 579100 610565 642700 880232 976904 1100290 1158200 1221130 1285400 2200580 2442260 2750725 3052825 4401160 4884520 5501450 6105650 11002900 12211300 22005800 24422600 37218757 74437514 148875028 186093785 297750056 372187570 707156383 744375140 930468925 1414312766 1488750280 1860937850 2828625532 3535781915 3721875700 5657251064 7071563830 7443751400 14143127660 17678909575 28286255320 35357819150 70715638300 141431276600