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14354104344 = 23319315211949
BaseRepresentation
bin11010101111001001…
…00100000000011000
31101001100210001102020
431113210210000120
5213344122314334
610332202134440
71015464605466
oct152744440030
941040701366
1014354104344
1160a6577058
1229471b1420
131479aa1288
149a2531836
1559027ce49
hex357924018

14354104344 has 128 divisors (see below), whose sum is σ = 39087360000. Its totient is φ = 4375987200.

The previous prime is 14354104337. The next prime is 14354104357. The reversal of 14354104344 is 44340145341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7363882 + ... + 7365830.

It is an arithmetic number, because the mean of its divisors is an integer number (305370000).

Almost surely, 214354104344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14354104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543680000).

14354104344 is an abundant number, since it is smaller than the sum of its proper divisors (24733255656).

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

14354104344 is a wasteful number, since it uses less digits than its factorization.

14354104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 14354104344 its reverse (44340145341), we get a palindrome (58694249685).

The spelling of 14354104344 in words is "fourteen billion, three hundred fifty-four million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 521 589 744 1042 1178 1563 1767 1949 2084 2356 3126 3534 3898 4168 4712 5847 6252 7068 7796 9899 11694 12504 14136 15592 16151 19798 23388 29697 32302 37031 39596 46776 48453 59394 60419 64604 74062 79192 96906 111093 118788 120838 129208 148124 181257 193812 222186 237576 241676 296248 306869 362514 387624 444372 483352 613738 725028 888744 920607 1015429 1147961 1227476 1450056 1841214 2030858 2295922 2454952 3046287 3443883 3682428 4061716 4591844 6092574 6887766 7364856 8123432 9183688 12185148 13775532 19293151 24370296 27551064 31478299 38586302 57879453 62956598 77172604 94434897 115758906 125913196 154345208 188869794 231517812 251826392 377739588 463035624 598087681 755479176 1196175362 1794263043 2392350724 3588526086 4784701448 7177052172 14354104344