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141214220042224 = 24723355091543811
BaseRepresentation
bin100000000110111011111111…
…011011000011111111110000
3200111222221120210110122100011
4200012323333123003333300
5122002123210312322344
61220200530032304304
741513251005251140
oct4006737733037760
9614887523418304
10141214220042224
1140aa468384854a
1213a083186a2094
1360a45a008ac74
1426c2b3a20a920
15114d48c7c2d34
hex806eff6c3ff0

141214220042224 has 80 divisors (see below), whose sum is σ = 326293188042240. Its totient is φ = 57887391386880.

The previous prime is 141214220042183. The next prime is 141214220042237. The reversal of 141214220042224 is 422240022412141.

It is a happy number.

It is a super-3 number, since 3×1412142200422243 (a number of 43 digits) contains 333 as substring.

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, 90699279 + ... + 92243089.

It is an arithmetic number, because the mean of its divisors is an integer number (4078664850528).

Almost surely, 2141214220042224 is an apocalyptic number.

141214220042224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141214220042224 is an abundant number, since it is smaller than the sum of its proper divisors (185078968000016).

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

141214220042224 is a wasteful number, since it uses less digits than its factorization.

141214220042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579358 (or 1579352 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 141214220042224 its reverse (422240022412141), we get a palindrome (563454242454365).

The spelling of 141214220042224 in words is "one hundred forty-one trillion, two hundred fourteen billion, two hundred twenty million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 35509 71018 142036 248563 284072 497126 568144 816707 994252 1543811 1633414 1988504 3087622 3266828 3977008 5716949 6175244 6533656 10806677 11433898 12350488 13067312 21613354 22867796 24700976 35507653 43226708 45735592 71015306 86453416 91471184 142030612 172906832 248553571 284061224 497107142 568122448 994214284 1988428568 3976857136 54819184799 109638369598 219276739196 383734293593 438553478392 767468587186 877106956784 1260841250377 1534937174372 2521682500754 3069874348744 5043365001508 6139748697488 8825888752639 10086730003016 17651777505278 20173460006032 35303555010556 70607110021112 141214220042224