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144354553620 = 223523827126487
BaseRepresentation
bin1000011001110000110…
…0111010111100010100
3111210121022120010022220
42012130030322330110
54331114231203440
6150152055022340
713300145313624
oct2063414727424
9453538503286
10144354553620
1156247422792
1223b8806a9b0
13107c6aa2444
146db5ab6884
153b4d17e8d0
hex219c33af14

144354553620 has 96 divisors (see below), whose sum is σ = 422279682048. Its totient is φ = 36776057472.

The previous prime is 144354553613. The next prime is 144354553703. The reversal of 144354553620 is 26355453441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078017 + ... + 1204503.

It is an arithmetic number, because the mean of its divisors is an integer number (4398746688).

Almost surely, 2144354553620 is an apocalyptic number.

144354553620 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 144354553620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211139841024).

144354553620 is an abundant number, since it is smaller than the sum of its proper divisors (277925128428).

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

144354553620 is a wasteful number, since it uses less digits than its factorization.

144354553620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127349 (or 127347 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 144354553620 in words is "one hundred forty-four billion, three hundred fifty-four million, five hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 827 1380 1654 2481 3308 4135 4962 8270 9924 12405 16540 19021 24810 38042 49620 57063 76084 95105 114126 126487 190210 228252 252974 285315 379461 380420 505948 570630 632435 758922 1141260 1264870 1517844 1897305 2529740 2909201 3794610 5818402 7589220 8727603 11636804 14546005 17455206 29092010 34910412 43638015 58184020 87276030 104604749 174552060 209209498 313814247 418418996 523023745 627628494 1046047490 1255256988 1569071235 2092094980 2405909227 3138142470 4811818454 6276284940 7217727681 9623636908 12029546135 14435455362 24059092270 28870910724 36088638405 48118184540 72177276810 144354553620