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143404412014100 = 225237211919199877
BaseRepresentation
bin100000100110110011110001…
…000010011000111000010100
3200210202022212001001201120202
4200212303301002120320110
5122244014213433422400
61224555024415320032
742130425004661066
oct4046636102307024
9623668761051522
10143404412014100
1141769519044866
121410089b520018
136202c9395a163
14275ab4c30b736
15118a427b374d5
hex826cf1098e14

143404412014100 has 144 divisors (see below), whose sum is σ = 321463755419520. Its totient is φ = 55486217203200.

The previous prime is 143404412014093. The next prime is 143404412014111. The reversal of 143404412014100 is 1410214404341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717363362 + ... + 717563238.

Almost surely, 2143404412014100 is an apocalyptic number.

143404412014100 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 143404412014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160731877709760).

143404412014100 is an abundant number, since it is smaller than the sum of its proper divisors (178059343405420).

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

143404412014100 is a wasteful number, since it uses less digits than its factorization.

143404412014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201058 (or 201051 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 143404412014100 its reverse (1410214404341), we get a palindrome (144814626418441).

The spelling of 143404412014100 in words is "one hundred forty-three trillion, four hundred four billion, four hundred twelve million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 211 370 422 740 844 919 925 1055 1838 1850 2110 3676 3700 4220 4595 5275 7807 9190 10550 15614 18380 21100 22975 31228 34003 39035 45950 68006 78070 91900 136012 156140 170015 193909 195175 199877 340030 387818 390350 399754 680060 775636 780700 799508 850075 969545 999385 1700150 1939090 1998770 3400300 3878180 3997540 4847725 4996925 7174633 7395449 9695450 9993850 14349266 14790898 19390900 19987700 28698532 29581796 35873165 36977245 42174047 71746330 73954490 84348094 143492660 147908980 168696188 179365825 183686963 184886225 210870235 358731650 367373926 369772450 421740470 717463300 734747852 739544900 843480940 918434815 1054351175 1560439739 1836869630 2108702350 3120879478 3673739260 4217404700 4592174075 6241758956 6796417631 7802198695 9184348150 13592835262 15604397390 18368696300 27185670524 31208794780 33982088155 38757949193 39010993475 67964176310 77515898386 78021986950 135928352620 155031796772 156043973900 169910440775 193789745965 339820881550 387579491930 679641763100 775158983860 968948729825 1434044120141 1937897459650 2868088240282 3875794919300 5736176480564 7170220600705 14340441201410 28680882402820 35851103003525 71702206007050 143404412014100