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140131413300 = 223522959273001
BaseRepresentation
bin1000001010000001111…
…0111010110100110100
3111101200222222100220110
42002200132322310310
54243442120211200
6144213034303020
713060405234314
oct2024036726464
9441628870813
10140131413300
115447a59097a
12231a9887a70
13102a2b83b48
146ad4c79444
1539a252db50
hex20a07bad34

140131413300 has 144 divisors (see below), whose sum is σ = 426538324800. Its totient is φ = 35468160000.

The previous prime is 140131413299. The next prime is 140131413349. The reversal of 140131413300 is 3314131041.

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 47 ways as a sum of consecutive naturals, for example, 376800 + ... + 649800.

It is an arithmetic number, because the mean of its divisors is an integer number (2962071700).

Almost surely, 2140131413300 is an apocalyptic number.

140131413300 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 140131413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269162400).

140131413300 is an abundant number, since it is smaller than the sum of its proper divisors (286406911500).

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

140131413300 is a wasteful number, since it uses less digits than its factorization.

140131413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273106 (or 273099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 140131413300 its reverse (3314131041), we get a palindrome (143445544341).

It can be divided in two parts, 1401 and 31413300, that added together give a triangular number (31414701 = T7926).

The spelling of 140131413300 in words is "one hundred forty billion, one hundred thirty-one million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 59 60 75 87 100 116 118 145 150 174 177 236 290 295 300 348 354 435 580 590 708 725 870 885 1180 1450 1475 1711 1740 1770 2175 2900 2950 3422 3540 4350 4425 5133 5900 6844 8555 8700 8850 10266 17110 17700 20532 25665 34220 42775 51330 85550 102660 128325 171100 256650 273001 513300 546002 819003 1092004 1365005 1638006 2730010 3276012 4095015 5460020 6825025 7917029 8190030 13650050 15834058 16107059 16380060 20475075 23751087 27300100 31668116 32214118 39585145 40950150 47502174 48321177 64428236 79170290 80535295 81900300 95004348 96642354 118755435 158340580 161070590 193284708 197925725 237510870 241605885 322141180 395851450 402676475 467104711 475021740 483211770 593777175 791702900 805352950 934209422 966423540 1187554350 1208029425 1401314133 1610705900 1868418844 2335523555 2375108700 2416058850 2802628266 4671047110 4832117700 5605256532 7006570665 9342094220 11677617775 14013141330 23355235550 28026282660 35032853325 46710471100 70065706650 140131413300