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299988434944 = 2141123892
BaseRepresentation
bin1000101110110001011…
…01000100000000000000
31001200022201011110110201
410113120231010000000
514403334014404234
6345451321134544
730446664424102
oct4273055040000
91050281143421
10299988434944
11106251718300
124a18162a454
132239a60c893
141073b7b1572
157c0b677314
hex45d8b44000

299988434944 has 135 divisors (see below), whose sum is σ = 661158206821. Its totient is φ = 136007843840.

The previous prime is 299988434917. The next prime is 299988434957. The reversal of 299988434944 is 449434889992.

The square root of 299988434944 is 547712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70815596544 + 229172838400 = 266112^2 + 478720^2 .

It is a super-2 number, since 2×2999884349442 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 771178302 + ... + 771178690.

Almost surely, 2299988434944 is an apocalyptic number.

299988434944 is the 547712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299988434944

299988434944 is an abundant number, since it is smaller than the sum of its proper divisors (361169771877).

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

299988434944 is an frugal number, since it uses more digits than its factorization.

299988434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 402 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 73.

The spelling of 299988434944 in words is "two hundred ninety-nine billion, nine hundred eighty-eight million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 389 484 512 704 778 968 1024 1408 1556 1936 2048 2816 3112 3872 4096 4279 5632 6224 7744 8192 8558 11264 12448 15488 16384 17116 22528 24896 30976 34232 45056 47069 49792 61952 68464 90112 94138 99584 123904 136928 151321 180224 188276 199168 247808 273856 302642 376552 398336 495616 547712 605284 753104 796672 991232 1095424 1210568 1506208 1593344 1664531 1982464 2190848 2421136 3012416 3186688 3329062 4381696 4842272 6024832 6373376 6658124 8763392 9684544 12049664 13316248 17526784 18309841 19369088 24099328 26632496 35053568 36619682 38738176 48198656 53264992 70107136 73239364 77476352 96397312 106529984 146478728 154952704 192794624 213059968 292957456 309905408 385589248 426119936 585914912 619810816 771178496 852239872 1171829824 1239621632 1704479744 2343659648 2479243264 3408959488 4687319296 6817918976 9374638592 13635837952 18749277184 27271675904 37498554368 74997108736 149994217472 299988434944