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1144500453120 = 28351791665067
BaseRepresentation
bin10000101001111001100…
…010101111111100000000
311001102011012112000022010
4100221321202233330000
5122222414103444440
62233435400412520
7145454534223633
oct20517142577400
94042135460263
101144500453120
1140141a73a082
1216598aa77140
1383c0636263b
143d57365bc1a
151eb87615580
hex10a798aff00

1144500453120 has 144 divisors (see below), whose sum is σ = 3675670911360. Its totient is φ = 303494909952.

The previous prime is 1144500453067. The next prime is 1144500453157. The reversal of 1144500453120 is 213540054411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145174 + ... + 1519893.

It is an arithmetic number, because the mean of its divisors is an integer number (25525492440).

Almost surely, 21144500453120 is an apocalyptic number.

1144500453120 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 1144500453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837835455680).

1144500453120 is an abundant number, since it is smaller than the sum of its proper divisors (2531170458240).

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

1144500453120 is a wasteful number, since it uses less digits than its factorization.

1144500453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665270 (or 1665256 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1144500453120 in words is "one trillion, one hundred forty-four billion, five hundred million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 256 320 358 384 480 537 640 716 768 895 960 1074 1280 1432 1790 1920 2148 2685 2864 3580 3840 4296 5370 5728 7160 8592 10740 11456 14320 17184 21480 22912 28640 34368 42960 45824 57280 68736 85920 114560 137472 171840 229120 343680 687360 1665067 3330134 4995201 6660268 8325335 9990402 13320536 16650670 19980804 24976005 26641072 33301340 39961608 49952010 53282144 66602680 79923216 99904020 106564288 133205360 159846432 199808040 213128576 266410720 298046993 319692864 399616080 426257152 532821440 596093986 639385728 799232160 894140979 1065642880 1192187972 1278771456 1490234965 1598464320 1788281958 2131285760 2384375944 2980469930 3196928640 3576563916 4470704895 4768751888 5960939860 6393857280 7153127832 8941409790 9537503776 11921879720 14306255664 17882819580 19075007552 23843759440 28612511328 35765639160 38150015104 47687518880 57225022656 71531278320 76300030208 95375037760 114450045312 143062556640 190750075520 228900090624 286125113280 381500151040 572250226560 1144500453120