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141403402410400 = 25521319577694513
BaseRepresentation
bin100000001001101100001011…
…100100100001100110100000
3200112200000220020110200201001
4200021230023210201212200
5122013223132004113100
61220423454251121344
741533026062663014
oct4011541344414640
9615600806420631
10141403402410400
1141067934310859
1213a38b15443254
1360b938c1a5560
1426cbd65730544
1511533611ccd6a
hex809b0b9219a0

141403402410400 has 144 divisors (see below), whose sum is σ = 371774508205464. Its totient is φ = 52207744942080.

The previous prime is 141403402410377. The next prime is 141403402410401. The reversal of 141403402410400 is 4014204304141.

It can be written as a sum of positive squares in 12 ways, for example, as 29465224963344 + 111938177447056 = 5428188^2 + 10580084^2 .

It is not an unprimeable number, because it can be changed into a prime (141403402410401) by changing a digit.

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, 203253544 + ... + 203948056.

Almost surely, 2141403402410400 is an apocalyptic number.

141403402410400 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 141403402410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185887254102732).

141403402410400 is an abundant number, since it is smaller than the sum of its proper divisors (230371105795064).

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

141403402410400 is a wasteful number, since it uses less digits than its factorization.

141403402410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714123 (or 714110 counting only the distinct ones).

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

Adding to 141403402410400 its reverse (4014204304141), we get a palindrome (145417606714541).

The spelling of 141403402410400 in words is "one hundred forty-one trillion, four hundred three billion, four hundred two million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 19577 39154 78308 97885 156616 195770 254501 313232 391540 489425 509002 626464 694513 783080 978850 1018004 1272505 1389026 1566160 1957700 2036008 2545010 2778052 3132320 3472565 3915400 4072016 5090020 5556104 6362525 6945130 7830800 8144032 9028669 10180040 11112208 12725050 13890260 15661600 17362825 18057338 20360080 22224416 25450100 27780520 34725650 36114676 40720160 45143345 50900200 55561040 69451300 72229352 90286690 101800400 111122080 138902600 144458704 180573380 203600800 225716725 277805200 288917408 361146760 451433450 555610400 722293520 902866900 1444587040 1805733800 3611467600 7222935200 13596481001 27192962002 54385924004 67982405005 108771848008 135964810010 176754253013 217543696016 271929620020 339912025025 353508506026 435087392032 543859240040 679824050050 707017012052 883771265065 1087718480080 1359648100100 1414034024104 1767542530130 2175436960160 2719296200200 2828068048208 3535085060260 4418856325325 5438592400400 5656136096416 7070170120520 8837712650650 10877184800800 14140340241040 17675425301300 28280680482080 35350850602600 70701701205200 141403402410400