Search a number
-
+
2989900144 = 2471137107613
BaseRepresentation
bin1011001000110110…
…0100000101110000
321201101000122221101
42302031210011300
522110403301034
61212403534144
7134043506020
oct26215440560
97641018841
102989900144
1112a47a2260
126b538a354
133885893aa
14205137a80
1512774b514
hexb2364170

2989900144 has 160 divisors (see below), whose sum is σ = 7499091456. Its totient is φ = 1120988160.

The previous prime is 2989900141. The next prime is 2989900163. The reversal of 2989900144 is 4410099892.

It is a junction number, because it is equal to n+sod(n) for n = 2989900094 and 2989900103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989900141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4877182 + ... + 4877794.

Almost surely, 22989900144 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 2989900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749545728).

2989900144 is an abundant number, since it is smaller than the sum of its proper divisors (4509191312).

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

2989900144 is a wasteful number, since it uses less digits than its factorization.

2989900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 2989900144 is about 54679.9793708813. The cubic root of 2989900144 is about 1440.6292491685.

The spelling of 2989900144 in words is "two billion, nine hundred eighty-nine million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 107 112 148 154 176 214 259 296 308 407 428 518 592 613 616 749 814 856 1036 1177 1226 1232 1498 1628 1712 2072 2354 2452 2849 2996 3256 3959 4144 4291 4708 4904 5698 5992 6512 6743 7918 8239 8582 9416 9808 11396 11984 13486 15836 16478 17164 18832 22681 22792 26972 27713 31672 32956 34328 43549 45362 45584 47201 53944 55426 63344 65591 65912 68656 87098 90724 94402 107888 110852 131182 131824 158767 174196 181448 188804 221704 249491 262364 304843 317534 348392 362896 377608 443408 459137 498982 524728 609686 635068 696784 721501 755216 918274 997964 1049456 1219372 1270136 1443002 1746437 1836548 1995928 2426867 2438744 2540272 2886004 3492874 3673096 3991856 4853734 4877488 5050507 5772008 6985748 7346192 9707468 10101014 11544016 13971496 16988069 19414936 20202028 26695537 27942992 33976138 38829872 40404056 53391074 67952276 80808112 106782148 135904552 186868759 213564296 271809104 373737518 427128592 747475036 1494950072 2989900144