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141214223040 = 26351113372559
BaseRepresentation
bin1000001110000100000…
…1100000101011000000
3111111111110110210121220
42003201001200223000
54303201320114130
6144512314515040
713126264043112
oct2034101405300
9444443423556
10141214223040
1154985824960
1223450435a80
13104162c6277
146b989c13b2
153a1761b410
hex20e1060ac0

141214223040 has 112 divisors (see below), whose sum is σ = 489114754560. Its totient is φ = 34233748480.

The previous prime is 141214222979. The next prime is 141214223077. The reversal of 141214223040 is 40322412141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141214223040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6675720 + ... + 6696839.

Almost surely, 2141214223040 is an apocalyptic number.

141214223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141214223040 is an abundant number, since it is smaller than the sum of its proper divisors (347900531520).

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

141214223040 is a wasteful number, since it uses less digits than its factorization.

141214223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372590 (or 13372580 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141214223040 its reverse (40322412141), we get a palindrome (181536635181).

The spelling of 141214223040 in words is "one hundred forty-one billion, two hundred fourteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 13372559 26745118 40117677 53490236 66862795 80235354 106980472 133725590 147098149 160470708 200588385 213960944 267451180 294196298 320941416 401176770 427921888 441294447 534902360 588392596 641882832 735490745 802353540 855843776 882588894 1069804720 1176785192 1283765664 1470981490 1604707080 1765177788 2139609440 2206472235 2353570384 2567531328 2941962980 3209414160 3530355576 4279218880 4412944470 4707140768 5883925960 6418828320 7060711152 8825888940 9414281536 11767851920 12837656640 14121422304 17651777880 23535703840 28242844608 35303555760 47071407680 70607111520 141214223040