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141401414444240 = 24515176115381623
BaseRepresentation
bin100000001001101010010101…
…000101000010010011010000
3200112122211202200202112210202
4200021222111011002103100
5122013210044044203430
61220422525114114332
741532625603361216
oct4011522505022320
9615584680675722
10141401414444240
1141067004143415
1213a3865b71b9a8
1360b9133382712
1426cbc176c8cb6
1511532968e5d45
hex809a951424d0

141401414444240 has 80 divisors (see below), whose sum is σ = 331370386580736. Its totient is φ = 56112157056000.

The previous prime is 141401414444219. The next prime is 141401414444291. The reversal of 141401414444240 is 42444414104141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1414014144442403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141401414444194 and 141401414444203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502069 + ... + 16883691.

Almost surely, 2141401414444240 is an apocalyptic number.

141401414444240 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 141401414444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165685193290368).

141401414444240 is an abundant number, since it is smaller than the sum of its proper divisors (189968972136496).

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

141401414444240 is a wasteful number, since it uses less digits than its factorization.

141401414444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15382548 (or 15382542 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

Adding to 141401414444240 its reverse (42444414104141), we get a palindrome (183845828548381).

The spelling of 141401414444240 in words is "one hundred forty-one trillion, four hundred one billion, four hundred fourteen million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 761 1208 1510 1522 2416 3020 3044 3805 6040 6088 7610 12080 12176 15220 30440 60880 114911 229822 459644 574555 919288 1149110 1838576 2298220 4596440 9192880 15381623 30763246 61526492 76908115 123052984 153816230 246105968 307632460 615264920 1230529840 2322625073 4645250146 9290500292 11613125365 11705415103 18581000584 23226250730 23410830206 37162001168 46452501460 46821660412 58527075515 92905002920 93643320824 117054151030 185810005840 187286641648 234108302060 468216604120 936433208240 1767517680553 3535035361106 7070070722212 8837588402765 14140141444424 17675176805530 28280282888848 35350353611060 70700707222120 141401414444240