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144111210133240 = 2357329362197673
BaseRepresentation
bin100000110001000110000001…
…011111001111011011111000
3200220020220020000102100122001
4200301012001133033123320
5122342104224243230430
61230255435340110344
742232456062604000
oct4061060137173370
9626226200370561
10144111210133240
1141a1124816aa39
12141b58748353b4
1362548236378ac
14278303c41b000
15119d9e392c3ca
hex8311817cf6f8

144111210133240 has 128 divisors (see below), whose sum is σ = 391173487920000. Its totient is φ = 47705779774464.

The previous prime is 144111210133217. The next prime is 144111210133259. The reversal of 144111210133240 is 42331012111441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 144111210133199 and 144111210133208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180700957 + ... + 181496716.

It is an arithmetic number, because the mean of its divisors is an integer number (3056042874375).

Almost surely, 2144111210133240 is an apocalyptic number.

144111210133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144111210133240 is an abundant number, since it is smaller than the sum of its proper divisors (247062277786760).

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

144111210133240 is a wasteful number, since it uses less digits than its factorization.

144111210133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362197734 (or 362197716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 144111210133240 its reverse (42331012111441), we get a palindrome (186442222244681).

The spelling of 144111210133240 in words is "one hundred forty-four trillion, one hundred eleven billion, two hundred ten million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 343 392 406 490 580 686 812 980 1015 1160 1372 1421 1624 1715 1960 2030 2744 2842 3430 4060 5684 6860 7105 8120 9947 11368 13720 14210 19894 28420 39788 49735 56840 79576 99470 198940 397880 362197673 724395346 1448790692 1810988365 2535383711 2897581384 3621976730 5070767422 7243953460 10141534844 10503732517 12676918555 14487906920 17747685977 20283069688 21007465034 25353837110 35495371954 42014930068 50707674220 52518662585 70990743908 73526127619 84029860136 88738429885 101415348440 105037325170 124233801839 141981487816 147052255238 177476859770 210074650340 248467603678 294104510476 354953719540 367630638095 420149300680 496935207356 514682893333 588209020952 621169009195 709907439080 735261276190 993870414712 1029365786666 1242338018390 1470522552380 2058731573332 2484676036780 2573414466665 2941045104760 3602780253331 4117463146664 4969352073560 5146828933330 7205560506662 10293657866660 14411121013324 18013901266655 20587315733320 28822242026648 36027802533310 72055605066620 144111210133240