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14344671120 = 2435138951659
BaseRepresentation
bin11010101110000001…
…00100111110010000
31101000201000210110120
431113000210332100
5213334213433440
610331224030240
71015321456413
oct152700447620
941021023416
1014344671120
1160a12137aa
122944002380
131477b4a6a0
149a1197b7a
1558e517dd0
hex357024f90

14344671120 has 160 divisors (see below), whose sum is σ = 48428150400. Its totient is φ = 3491254272.

The previous prime is 14344671037. The next prime is 14344671127. The reversal of 14344671120 is 2117644341.

It is not an unprimeable number, because it can be changed into a prime (14344671127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251851 + ... + 303509.

It is an arithmetic number, because the mean of its divisors is an integer number (302675940).

Almost surely, 214344671120 is an apocalyptic number.

14344671120 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 14344671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24214075200).

14344671120 is an abundant number, since it is smaller than the sum of its proper divisors (34083479280).

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

14344671120 is a wasteful number, since it uses less digits than its factorization.

14344671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51777 (or 51771 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 14344671120 in words is "fourteen billion, three hundred forty-four million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 89 104 120 130 156 178 195 208 240 260 267 312 356 390 445 520 534 624 712 780 890 1040 1068 1157 1335 1424 1560 1780 2136 2314 2670 3120 3471 3560 4272 4628 5340 5785 6942 7120 9256 10680 11570 13884 17355 18512 21360 23140 27768 34710 46280 51659 55536 69420 92560 103318 138840 154977 206636 258295 277680 309954 413272 516590 619908 671567 774885 826544 1033180 1239816 1343134 1549770 2014701 2066360 2479632 2686268 3099540 3357835 4029402 4132720 4597651 5372536 6199080 6715670 8058804 9195302 10073505 10745072 12398160 13431340 13792953 16117608 18390604 20147010 22988255 26862680 27585906 32235216 36781208 40294020 45976510 53725360 55171812 59769463 68964765 73562416 80588040 91953020 110343624 119538926 137929530 161176080 179308389 183906040 220687248 239077852 275859060 298847315 358616778 367812080 478155704 551718120 597694630 717233556 896541945 956311408 1103436240 1195389260 1434467112 1793083890 2390778520 2868934224 3586167780 4781557040 7172335560 14344671120