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141342420210400 = 25521229367339139
BaseRepresentation
bin100000001000110011011000…
…101111111001001011100000
3200112110012111021200221212001
4200020303120233321023200
5122011223234033213100
61220335451135013344
741525436635561323
oct4010633057711340
9615405437627761
10141342420210400
1141043a90468362
1213a2913666a254
1360b36c1101146
1426c901c6447ba
151151992612d6a
hex808cd8bf92e0

141342420210400 has 144 divisors (see below), whose sum is σ = 345435786788400. Its totient is φ = 56474142658560.

The previous prime is 141342420210371. The next prime is 141342420210401. The reversal of 141342420210400 is 4012024243141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141342420210401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3611274031 + ... + 3611313169.

It is an arithmetic number, because the mean of its divisors is an integer number (2398859630475).

Almost surely, 2141342420210400 is an apocalyptic number.

141342420210400 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 141342420210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172717893394200).

141342420210400 is an abundant number, since it is smaller than the sum of its proper divisors (204093366578000).

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

141342420210400 is a wasteful number, since it uses less digits than its factorization.

141342420210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44061 (or 44048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 141342420210400 its reverse (4012024243141), we get a palindrome (145354444453541).

The spelling of 141342420210400 in words is "one hundred forty-one trillion, three hundred forty-two billion, four hundred twenty million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1229 2458 3673 4916 6145 7346 9832 12290 14692 18365 19664 24580 29384 30725 36730 39139 39328 49160 58768 61450 73460 78278 91825 98320 117536 122900 146920 156556 183650 195695 196640 245800 293840 313112 367300 391390 491600 587680 626224 734600 782780 978475 983200 1252448 1469200 1565560 1956950 2938400 3131120 3913900 4514117 6262240 7827800 9028234 15655600 18056468 22570585 31311200 36112936 45141170 48101831 72225872 90282340 96203662 112852925 143757547 144451744 180564680 192407324 225705850 240509155 287515094 361129360 384814648 451411700 481018310 575030188 718787735 722258720 769629296 902823400 962036620 1150060376 1202545775 1437575470 1539258592 1805646800 1924073240 2300120752 2405091550 2875150940 3593938675 3611293600 3848146480 4600241504 4810183100 5750301880 7187877350 7696292960 9620366200 11500603760 14375754700 19240732400 23001207520 28751509400 38481464800 57503018800 115006037600 176678025263 353356050526 706712101052 883390126315 1413424202104 1766780252630 2826848404208 3533560505260 4416950631575 5653696808416 7067121010520 8833901263150 14134242021040 17667802526300 28268484042080 35335605052600 70671210105200 141342420210400