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1429704898448 = 2417291631111967
BaseRepresentation
bin10100110011100001000…
…011010111011110010000
312001200022120222222121212
4110303201003113132100
5141411013423222243
63012444121435252
7205202264060351
oct24634103273620
95050276888555
101429704898448
11501375163142
121b110533bb28
13a4a88ac7968
144d2ab797d28
15272cade6318
hex14ce10d7790

1429704898448 has 80 divisors (see below), whose sum is σ = 3052752468480. Its totient is φ = 645616355328.

The previous prime is 1429704898441. The next prime is 1429704898451. The reversal of 1429704898448 is 8448984079241.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (1429704898441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729761 + ... + 1841727.

It is an arithmetic number, because the mean of its divisors is an integer number (38159405856).

Almost surely, 21429704898448 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 1429704898448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526376234240).

1429704898448 is an abundant number, since it is smaller than the sum of its proper divisors (1623047570032).

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

1429704898448 is a wasteful number, since it uses less digits than its factorization.

1429704898448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112184 (or 1112178 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 68.

The spelling of 1429704898448 in words is "one trillion, four hundred twenty-nine billion, seven hundred four million, eight hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 163 232 272 326 464 493 652 986 1304 1972 2608 2771 3944 4727 5542 7888 9454 11084 18908 22168 37816 44336 75632 80359 160718 321436 642872 1111967 1285744 2223934 4447868 8895736 17791472 18903439 32247043 37806878 64494086 75613756 128988172 151227512 181250621 257976344 302455024 362501242 515952688 548199731 725002484 1096399462 1450004968 2192798924 2900009936 3081260557 4385597848 5256268009 6162521114 8771195696 10512536018 12325042228 21025072036 24650084456 42050144072 49300168912 84100288144 89356556153 178713112306 357426224612 714852449224 1429704898448