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14401220200304 = 247479728399661
BaseRepresentation
bin1101000110010000101110…
…0111010100011101110000
31212222202001210111220220012
43101210023213110131300
53341422144332402204
650343455040234052
73014311442651630
oct321441347243560
955882053456805
1014401220200304
114652583400593
12174707760b928
1380604c30a0b2
1437b0466dc6c0
1519e91e9c276e
hexd190b9d4770

14401220200304 has 160 divisors (see below), whose sum is σ = 33019229300736. Its totient is φ = 5957174108160.

The previous prime is 14401220200291. The next prime is 14401220200337. The reversal of 14401220200304 is 40300202210441.

It is a self number, because there is not a number n which added to its sum of digits gives 14401220200304.

It is a congruent 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, 144452234 + ... + 144551894.

Almost surely, 214401220200304 is an apocalyptic number.

14401220200304 is a gapful number since it is divisible by the number (14) 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 14401220200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509614650368).

14401220200304 is an abundant number, since it is smaller than the sum of its proper divisors (18618009100432).

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

14401220200304 is a wasteful number, since it uses less digits than its factorization.

14401220200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100103 (or 100097 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14401220200304 its reverse (40300202210441), we get a palindrome (54701422410745).

The spelling of 14401220200304 in words is "fourteen trillion, four hundred one billion, two hundred twenty million, two hundred thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 97 112 188 194 283 329 376 388 566 658 679 752 776 1132 1316 1358 1552 1981 2264 2632 2716 3962 4528 4559 5264 5432 7924 9118 10864 13301 15848 18236 26602 27451 31696 31913 36472 53204 54902 63826 72944 93107 99661 106408 109804 127652 186214 192157 199322 212816 219608 255304 372428 384314 398644 439216 510608 697627 744856 768628 797288 1290197 1395254 1489712 1537256 1594576 2580394 2790508 3074512 4684067 5160788 5581016 9031379 9368134 9667117 10321576 11162032 18062758 18736268 19334234 20643152 28204063 32788469 36125516 37472536 38668468 56408126 65576938 67669819 72251032 74945072 77336936 112816252 131153876 135339638 144502064 154673872 197428441 225632504 262307752 270679276 394856882 451265008 454354499 524615504 541358552 789713764 908708998 1082717104 1325590961 1579427528 1817417996 2651181922 2735794111 3158855056 3180481493 3634835992 5302363844 5471588222 6360962986 7269671984 9279136727 10604727688 10943176444 12721925972 18558273454 19150558777 21209455376 21886352888 25443851944 37116546908 38301117554 43772705776 50887703888 74233093816 76602235108 128582323217 148466187632 153204470216 257164646434 306408940432 514329292868 900076262519 1028658585736 1800152525038 2057317171472 3600305050076 7200610100152 14401220200304