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2320140342432 = 253117130945107
BaseRepresentation
bin100001110000110011001…
…001000001010010100000
322012210200120101021120210
4201300303021001102200
5301003121411424212
64533505135334120
7326424145342053
oct41606311012240
98183616337523
102320140342432
11814a69812490
123157aa381340
1313aa32b67a63
148041c7aaa9a
15405438ca53c
hex21c332414a0

2320140342432 has 96 divisors (see below), whose sum is σ = 6737616474624. Its totient is φ = 693170374400.

The previous prime is 2320140342391. The next prime is 2320140342437. The reversal of 2320140342432 is 2342430410232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2320140342432.

It is not an unprimeable number, because it can be changed into a prime (2320140342437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15397578 + ... + 15547529.

It is an arithmetic number, because the mean of its divisors is an integer number (70183504944).

Almost surely, 22320140342432 is an apocalyptic number.

2320140342432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2320140342432 is an abundant number, since it is smaller than the sum of its proper divisors (4417476132192).

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

2320140342432 is a wasteful number, since it uses less digits than its factorization.

2320140342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30945202 (or 30945194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2320140342432 its reverse (2342430410232), we get a palindrome (4662570752664).

The spelling of 2320140342432 in words is "two trillion, three hundred twenty billion, one hundred forty million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6248 6816 9372 12496 18744 24992 37488 74976 30945107 61890214 92835321 123780428 185670642 247560856 340396177 371341284 495121712 680792354 742682568 990243424 1021188531 1361584708 1485365136 2042377062 2197102597 2723169416 2970730272 4084754124 4394205194 5446338832 6591307791 8169508248 8788410388 10892677664 13182615582 16339016496 17576820776 24168128567 26365231164 32678032992 35153641552 48336257134 52730462328 70307283104 72504385701 96672514268 105460924656 145008771402 193345028536 210921849312 290017542804 386690057072 580035085608 773380114144 1160070171216 2320140342432