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2140353312 = 253174872693
BaseRepresentation
bin111111110010011…
…0011001100100000
312112011110012202220
41333210303030200
513340412301222
6552215111040
7104016463056
oct17744631440
95464405686
102140353312
119a91a0139
124b8972480
13281579466
141643921d6
15c7d88b5c
hex7f933320

2140353312 has 96 divisors (see below), whose sum is σ = 5963352192. Its totient is φ = 669855744.

The previous prime is 2140353307. The next prime is 2140353349. The reversal of 2140353312 is 2133530412.

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

It is a super-2 number, since 2×21403533122 = 9162224600378738688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 793438 + ... + 796130.

It is an arithmetic number, because the mean of its divisors is an integer number (62118252).

Almost surely, 22140353312 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 2140353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981676096).

2140353312 is an abundant number, since it is smaller than the sum of its proper divisors (3822998880).

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

2140353312 is a wasteful number, since it uses less digits than its factorization.

2140353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2140353312 is about 46263.9526197233. The cubic root of 2140353312 is about 1288.7296574243.

Adding to 2140353312 its reverse (2133530412), we get a palindrome (4273883724).

The spelling of 2140353312 in words is "two billion, one hundred forty million, three hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 487 544 816 974 1461 1632 1948 2693 2922 3896 5386 5844 7792 8079 8279 10772 11688 15584 16158 16558 21544 23376 24837 32316 33116 43088 45781 46752 49674 64632 66232 86176 91562 99348 129264 132464 137343 183124 198696 258528 264928 274686 366248 397392 549372 732496 794784 1098744 1311491 1464992 2197488 2622982 3934473 4394976 5245964 7868946 10491928 15737892 20983856 22295347 31475784 41967712 44590694 62951568 66886041 89181388 125903136 133772082 178362776 267544164 356725552 535088328 713451104 1070176656 2140353312