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1314934650436 = 2211247211092
BaseRepresentation
bin10011001000101000001…
…101100111011001000100
311122201002001112022011111
4103020220031213121010
5133020441232303221
62444023405014404
7164000210053321
oct23105015473104
94581061468144
101314934650436
1146772a36a100
12192a14b54404
1396cc82425c4
1447900c3bb48
152431012bbe1
hex13228367644

1314934650436 has 81 divisors (see below), whose sum is σ = 2586640765597. Its totient is φ = 584453114080.

The previous prime is 1314934650433. The next prime is 1314934650461. The reversal of 1314934650436 is 6340564394131.

The square root of 1314934650436 is 1146706.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21255890436 + 1293678760000 = 145794^2 + 1137400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314934650436.

It is not an unprimeable number, because it can be changed into a prime (1314934650433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1185693450 + ... + 1185694558.

Almost surely, 21314934650436 is an apocalyptic number.

1314934650436 is the 1146706-th square number.

It is an amenable number.

1314934650436 is a deficient number, since it is larger than the sum of its proper divisors (1271706115161).

1314934650436 is an equidigital number, since it uses as much as digits as its factorization.

1314934650436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

Multiplying 1314934650436 by its sum of digits (49), we get a square (64431797871364 = 80269422).

The spelling of 1314934650436 in words is "one trillion, three hundred fourteen billion, nine hundred thirty-four million, six hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 44 47 94 121 188 242 484 517 1034 1109 2068 2209 2218 4418 4436 5687 8836 11374 12199 22748 24299 24398 48598 48796 52123 97196 104246 134189 208492 267289 268378 534578 536756 573353 1069156 1146706 1229881 2293412 2449781 2459762 4899562 4919524 6306883 9799124 12613766 13528691 25227532 26947591 27057382 53895182 54114764 57804407 107790364 115608814 148815601 231217628 296423501 297631202 592847002 595262404 635848477 1185694004 1271696954 2543393908 2716807129 5433614258 6994333247 10867228516 13988666494 27977332988 29884878419 59769756838 119539513676 328733662609 657467325218 1314934650436