Search a number
-
+
2996402544144 = 243267221532
BaseRepresentation
bin101011100110100111100…
…000100101111000010000
3101121110020110000120202100
4223212213200211320100
5343043113022403034
610212310041320400
7426324435246432
oct53464740457020
911543213016670
102996402544144
11a55849135969
12404881196100
13189737430ab9
14a505320a652
1552e239d6099
hex2b9a7825e10

2996402544144 has 135 divisors (see below), whose sum is σ = 8516749960173. Its totient is φ = 983436385536.

The previous prime is 2996402544133. The next prime is 2996402544217. The reversal of 2996402544144 is 4414452046992.

The square root of 2996402544144 is 1731012.

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

2996402544144 is a `hidden beast` number, since 2 + 9 + 96 + 4 + 0 + 2 + 544 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221219715600 + 2775182828544 = 470340^2 + 1665888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1391732572 + ... + 1391734724.

Almost surely, 22996402544144 is an apocalyptic number.

2996402544144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2996402544144 is the 1731012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996402544144

2996402544144 is an abundant number, since it is smaller than the sum of its proper divisors (5520347416029).

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

2996402544144 is an frugal number, since it uses more digits than its factorization.

2996402544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2996402544144 in words is "two trillion, nine hundred ninety-six billion, four hundred two million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2153 2412 3216 4306 4489 4824 6459 8612 8978 9648 12918 13467 17224 17956 19377 25836 26934 34448 35912 38754 40401 51672 53868 71824 77508 80802 103344 107736 144251 155016 161604 215472 288502 310032 323208 432753 577004 646416 865506 1154008 1298259 1731012 2308016 2596518 3462024 4635409 5193036 6924048 9270818 9664817 10386072 13906227 18541636 19329634 20772144 27812454 28994451 37083272 38659268 41718681 55624908 57988902 74166544 77318536 83437362 86983353 111249816 115977804 154637072 166874724 173966706 222499632 231955608 310572403 333749448 347933412 463911216 621144806 667498896 695866824 931717209 1242289612 1391733648 1863434418 2484579224 2795151627 3726868836 4969158448 5590303254 7453737672 11180606508 14907475344 20808351001 22361213016 41616702002 44722426032 62425053003 83233404004 124850106006 166466808008 187275159009 249700212012 332933616016 374550318018 499400424024 749100636036 998800848048 1498201272072 2996402544144