Search a number
-
+
34849315642323 = 371331132717231801
BaseRepresentation
bin1111110110001111111010…
…00101000101101111010011
311120101120011201121101210010
413323013331011011233103
514031432344301023243
6202041315443010003
710224531346265250
oct773077505055723
9146346151541703
1034849315642323
111011656a184406
123aaa045369903
13165a3792307a0
14886a0451a427
1540679d7d8433
hex1fb1fd145bd3

34849315642323 has 128 divisors (see below), whose sum is σ = 59145010806784. Its totient is φ = 17755500672000.

The previous prime is 34849315642201. The next prime is 34849315642327. The reversal of 34849315642323 is 32324651394843.

It is not a de Polignac number, because 34849315642323 - 213 = 34849315634131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34849315642327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19349980023 + ... + 19349981823.

It is an arithmetic number, because the mean of its divisors is an integer number (462070396928).

Almost surely, 234849315642323 is an apocalyptic number.

34849315642323 is a deficient number, since it is larger than the sum of its proper divisors (24295695164461).

34849315642323 is a wasteful number, since it uses less digits than its factorization.

34849315642323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905.

The product of its digits is 44789760, while the sum is 57.

The spelling of 34849315642323 in words is "thirty-four trillion, eight hundred forty-nine billion, three hundred fifteen million, six hundred forty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 1327 1723 1801 2821 3981 5169 5403 8463 9289 12061 12607 17251 22399 23413 27867 36183 37821 41137 51753 53413 55831 67197 70239 120757 123411 156793 160239 163891 167493 287959 362271 373891 390817 470379 491673 534781 694369 725803 863877 1121673 1172451 1604343 2083107 2177409 2286421 2389927 3103123 3743467 4860583 5080621 6859263 7169781 9309369 11230401 14581749 15241863 16004947 16729489 21721861 29723473 31069051 40340599 48014841 50188467 65165583 70879051 74087737 89170419 93207153 96196813 121021797 208064311 212637153 217483357 222263211 282384193 288590439 496153357 518614159 624192933 652450071 673377691 847152579 921427663 963140581 1250558569 1488460071 1555842477 2020133073 2764282989 2889421743 3751675707 4117844221 6449993641 6741984067 8753909983 12353532663 19349980923 20225952201 26261729949 28824909547 53531974873 86474728641 127653170851 160595924619 374723824111 382959512553 893572195957 1124171472333 1659491221063 2680716587871 4978473663189 11616438547441 34849315642323