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141404404131100 = 225211222075295113
BaseRepresentation
bin100000001001101101000111…
…010001110010010100011100
3200112200010111001101101011201
4200021231013101302110130
5122013232204424143400
61220424141513325244
741533062645321355
oct4011550721622434
9615603431341151
10141404404131100
11410682a87aa400
1213a39154a06824
1360b94bb8959b6
1426cc01c7a8d2c
1511533be0ee06a
hex809b4747251c

141404404131100 has 108 divisors (see below), whose sum is σ = 337431605620032. Its totient is φ = 51396475116800.

The previous prime is 141404404131083. The next prime is 141404404131101. The reversal of 141404404131100 is 1131404404141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141404404131101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24057144 + ... + 29352256.

It is an arithmetic number, because the mean of its divisors is an integer number (3124366718704).

Almost surely, 2141404404131100 is an apocalyptic number.

141404404131100 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 141404404131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168715802810016).

141404404131100 is an abundant number, since it is smaller than the sum of its proper divisors (196027201488932).

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

141404404131100 is a wasteful number, since it uses less digits than its factorization.

141404404131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297356 (or 5297338 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141404404131100 its reverse (1131404404141), we get a palindrome (142535808535241).

The spelling of 141404404131100 in words is "one hundred forty-one trillion, four hundred four billion, four hundred four million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2207 2420 3025 4414 6050 8828 11035 12100 22070 24277 44140 48554 55175 97108 110350 121385 220700 242770 267047 485540 534094 606925 1068188 1213850 1335235 2427700 2670470 5295113 5340940 6676175 10590226 13352350 21180452 26475565 26704700 52951130 58246243 105902260 116492486 132377825 232984972 264755650 291231215 529511300 582462430 640708673 1164924860 1281417346 1456156075 2562834692 2912312150 3203543365 5824624300 6407086730 11686314391 12814173460 16017716825 23372628782 32035433650 46745257564 58431571955 64070867300 116863143910 128549458301 233726287820 257098916602 292157859775 514197833204 584315719550 642747291505 1168631439100 1285494583010 1414044041311 2570989166020 2828088082622 3213736457525 5656176165244 6427472915050 7070220206555 12854945830100 14140440413110 28280880826220 35351101032775 70702202065550 141404404131100