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144347701320 = 23335301144389
BaseRepresentation
bin1000011001101111001…
…0110010000001001000
3111210120211122222202000
42012123302302001020
54331111002420240
6150151252111000
713300033134234
oct2063362620110
9453524588660
10144347701320
1156243572529
1223b85905460
13107c5543524
146db4c115c4
153b4c779430
hex219bcb2048

144347701320 has 128 divisors (see below), whose sum is σ = 481329648000. Its totient is φ = 38479069440.

The previous prime is 144347701313. The next prime is 144347701361. The reversal of 144347701320 is 23107743441.

144347701320 is a `hidden beast` number, since 14 + 43 + 477 + 0 + 132 + 0 = 666.

It is a super-5 number, since 5×1443477013205 (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3229686 + ... + 3274074.

It is an arithmetic number, because the mean of its divisors is an integer number (3760387875).

Almost surely, 2144347701320 is an apocalyptic number.

144347701320 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 144347701320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240664824000).

144347701320 is an abundant number, since it is smaller than the sum of its proper divisors (336981946680).

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

144347701320 is a wasteful number, since it uses less digits than its factorization.

144347701320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420 (or 47410 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 144347701320 in words is "one hundred forty-four billion, three hundred forty-seven million, seven hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3011 6022 9033 12044 15055 18066 24088 27099 30110 36132 44389 45165 54198 60220 72264 81297 88778 90330 108396 120440 133167 135495 162594 177556 180660 216792 221945 266334 270990 325188 355112 361320 399501 406485 443890 532668 541980 650376 665835 799002 812970 887780 1065336 1083960 1198503 1331670 1598004 1625940 1775560 1997505 2397006 2663340 3196008 3251880 3995010 4794012 5326680 5992515 7990020 9588024 11985030 15980040 23970060 47940120 133655279 267310558 400965837 534621116 668276395 801931674 1069242232 1202897511 1336552790 1603863348 2004829185 2405795022 2673105580 3207726696 3608692533 4009658370 4811590044 5346211160 6014487555 7217385066 8019316740 9623180088 12028975110 14434770132 16038633480 18043462665 24057950220 28869540264 36086925330 48115900440 72173850660 144347701320