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14404854320 = 24531101131439
BaseRepresentation
bin11010110101001100…
…01010001000110000
31101011220021102021222
431122212022020300
5214000120314240
610341214004212
71016652145553
oct153246121060
941156242258
1014404854320
11612218a28a
1229601a6668
13148745cb4c
149a918269a
15594954eb5
hex35a98a230

14404854320 has 160 divisors (see below), whose sum is σ = 35260600320. Its totient is φ = 5466240000.

The previous prime is 14404854311. The next prime is 14404854337. The reversal of 14404854320 is 2345840441.

It is a happy 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, 32812661 + ... + 32813099.

It is an arithmetic number, because the mean of its divisors is an integer number (220378752).

Almost surely, 214404854320 is an apocalyptic number.

14404854320 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 14404854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630300160).

14404854320 is an abundant number, since it is smaller than the sum of its proper divisors (20855746000).

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

14404854320 is a wasteful number, since it uses less digits than its factorization.

14404854320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 14404854320 in words is "fourteen billion, four hundred four million, eight hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 101 124 131 155 202 248 262 310 404 439 496 505 524 620 655 808 878 1010 1048 1240 1310 1616 1756 2020 2096 2195 2480 2620 3131 3512 4040 4061 4390 5240 6262 7024 8080 8122 8780 10480 12524 13231 13609 15655 16244 17560 20305 25048 26462 27218 31310 32488 35120 40610 44339 50096 52924 54436 57509 62620 64976 66155 68045 81220 88678 105848 108872 115018 125240 132310 136090 162440 177356 211696 217744 221695 230036 250480 264620 272180 287545 324880 354712 410161 443390 460072 529240 544360 575090 709424 820322 886780 920144 1058480 1088720 1150180 1374509 1640644 1773560 1782779 2050805 2300360 2749018 3281288 3547120 3565558 4101610 4600720 5498036 5808409 6562576 6872545 7131116 8203220 8913895 10996072 11616818 13745090 14262232 16406440 17827790 21992144 23233636 27490180 28524464 29042045 32812880 35655580 46467272 54980360 58084090 71311160 92934544 109960720 116168180 142622320 180060679 232336360 360121358 464672720 720242716 900303395 1440485432 1800606790 2880970864 3601213580 7202427160 14404854320