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1414454010144 = 25373176639881
BaseRepresentation
bin10100100101010100000…
…001110110000100100000
312000012221201202120212220
4110211110001312010200
5141133300211311034
63001442522151040
7204122326466220
oct24452401660440
95005851676786
101414454010144
114a595946101a
121aa169952480
13a34c82b7ab6
144c662106080
1526bd7074749
hex14954076120

1414454010144 has 96 divisors (see below), whose sum is σ = 4256748671616. Its totient is φ = 402854799360.

The previous prime is 1414454010089. The next prime is 1414454010169. The reversal of 1414454010144 is 4410104544141.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106917 + ... + 3532964.

It is an arithmetic number, because the mean of its divisors is an integer number (44341131996).

Almost surely, 21414454010144 is an apocalyptic number.

1414454010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1414454010144 is an abundant number, since it is smaller than the sum of its proper divisors (2842294661472).

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

1414454010144 is a wasteful number, since it uses less digits than its factorization.

1414454010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640218 (or 6640210 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 1414454010144 its reverse (4410104544141), we get a palindrome (5824558554285).

The spelling of 1414454010144 in words is "one trillion, four hundred fourteen billion, four hundred fifty-four million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 317 336 634 672 951 1268 1902 2219 2536 3804 4438 5072 6657 7608 8876 10144 13314 15216 17752 26628 30432 35504 53256 71008 106512 213024 6639881 13279762 19919643 26559524 39839286 46479167 53119048 79678572 92958334 106238096 139437501 159357144 185916668 212476192 278875002 318714288 371833336 557750004 637428576 743666672 1115500008 1487333344 2104842277 2231000016 4209684554 4462000032 6314526831 8419369108 12629053662 14733895939 16838738216 25258107324 29467791878 33677476432 44201687817 50516214648 58935583756 67354952864 88403375634 101032429296 117871167512 176806751268 202064858592 235742335024 353613502536 471484670048 707227005072 1414454010144