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2140545344 = 26717535303
BaseRepresentation
bin111111110010110…
…0010000101000000
312112011210222012012
41333211202011000
513340434422334
6552223152052
7104021222660
oct17745420500
95464728165
102140545344
119a9311443
124b8a45628
132816159a2
141644021a0
15c7dc59ce
hex7f962140

2140545344 has 112 divisors (see below), whose sum is σ = 5237975808. Its totient is φ = 846962688.

The previous prime is 2140545331. The next prime is 2140545367. The reversal of 2140545344 is 4435450412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2140545344.

It is a congruent number.

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, 400997 + ... + 406299.

Almost surely, 22140545344 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 2140545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618987904).

2140545344 is an abundant number, since it is smaller than the sum of its proper divisors (3097430464).

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

2140545344 is a wasteful number, since it uses less digits than its factorization.

2140545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2140545344 is about 46266.0279686943. The cubic root of 2140545344 is about 1288.7681977798.

Adding to 2140545344 its reverse (4435450412), we get a palindrome (6575995756).

The spelling of 2140545344 in words is "two billion, one hundred forty million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 136 212 224 238 272 371 424 448 476 544 742 848 901 952 1088 1484 1696 1802 1904 2968 3392 3604 3808 5303 5936 6307 7208 7616 10606 11872 12614 14416 21212 23744 25228 28832 37121 42424 50456 57664 74242 84848 90151 100912 148484 169696 180302 201824 281059 296968 339392 360604 403648 562118 593936 631057 721208 1124236 1187872 1262114 1442416 1967413 2248472 2375744 2524228 2884832 3934826 4496944 4778003 5048456 5769664 7869652 8993888 9556006 10096912 15739304 17987776 19112012 20193824 31478608 33446021 38224024 40387648 62957216 66892042 76448048 125914432 133784084 152896096 267568168 305792192 535136336 1070272672 2140545344