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1298934144 = 273541761
BaseRepresentation
bin100110101101100…
…0010100110000000
310100112011200200000
41031123002212000
510130011343034
6332520400000
744121521004
oct11533024600
93315150600
101298934144
1160723a4a2
12303016000
13179153ab1
14c4724704
157907e599
hex4d6c2980

1298934144 has 96 divisors (see below), whose sum is σ = 3876348840. Its totient is φ = 432967680.

The previous prime is 1298934103. The next prime is 1298934151. The reversal of 1298934144 is 4414398921.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1298934144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10224 + ... + 51984.

Almost surely, 21298934144 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 1298934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938174420).

1298934144 is an abundant number, since it is smaller than the sum of its proper divisors (2577414696).

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

1298934144 is an frugal number, since it uses more digits than its factorization.

1298934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41790 (or 41766 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1298934144 is about 36040.7289604414. The cubic root of 1298934144 is about 1091.0945277497.

The spelling of 1298934144 in words is "one billion, two hundred ninety-eight million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 41761 83522 125283 167044 250566 334088 375849 501132 668176 751698 1002264 1127547 1336352 1503396 2004528 2255094 2672704 3006792 3382641 4009056 4510188 5345408 6013584 6765282 8018112 9020376 10147923 12027168 13530564 16036224 18040752 20295846 24054336 27061128 36081504 40591692 48108672 54122256 72163008 81183384 108244512 144326016 162366768 216489024 324733536 432978048 649467072 1298934144