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144443213100320 = 25554071165714323
BaseRepresentation
bin100000110101111011001110…
…011010000011010100100000
3200221102122011212120120001012
4200311323032122003110200
5122413024200023202240
61231112143540000052
742265451321345351
oct4065731632032440
9627378155516035
10144443213100320
114202a028194062
121424a08b990028
136279c237a42c4
1427951359d5d28
1511a74759b1b65
hex835ece683520

144443213100320 has 96 divisors (see below), whose sum is σ = 341363314027008. Its totient is φ = 57757611276288.

The previous prime is 144443213100287. The next prime is 144443213100323. The reversal of 144443213100320 is 23001312344441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144443213100323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10084696679 + ... + 10084711001.

It is an arithmetic number, because the mean of its divisors is an integer number (3555867854448).

Almost surely, 2144443213100320 is an apocalyptic number.

144443213100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144443213100320 is an abundant number, since it is smaller than the sum of its proper divisors (196920100926688).

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

144443213100320 is a wasteful number, since it uses less digits than its factorization.

144443213100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31402 (or 31394 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144443213100320 its reverse (23001312344441), we get a palindrome (167444525444761).

The spelling of 144443213100320 in words is "one hundred forty-four trillion, four hundred forty-three billion, two hundred thirteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5407 10814 11657 14323 21628 23314 27035 28646 43256 46628 54070 57292 58285 71615 86512 93256 108140 114584 116570 143230 173024 186512 216280 229168 233140 286460 373024 432560 458336 466280 572920 865120 932560 1145840 1865120 2291680 63029399 77444461 126058798 154888922 166963211 252117596 309777844 315146995 333926422 387222305 504235192 619555688 630293990 667852844 774444610 834816055 1008470384 1239111376 1260587980 1335705688 1548889220 1669632110 2016940768 2478222752 2521175960 2671411376 3097778440 3339264220 5042351920 5342822752 6195556880 6678528440 10084703840 12391113760 13357056880 26714113760 902770081877 1805540163754 3611080327508 4513850409385 7222160655016 9027700818770 14444321310032 18055401637540 28888642620064 36110803275080 72221606550160 144443213100320