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11416518075144 = 23371319275123339
BaseRepresentation
bin1010011000100001110110…
…0000010010001100001000
31111102102000202220012121010
42212020131200102030020
52444022012111401034
640140402003243520
72255546650332660
oct246103540221410
944372022805533
1011416518075144
113701799909686
1213447209795a0
1364a75ac5b950
142b67c34091a0
1514be832d23e9
hexa621d812308

11416518075144 has 128 divisors (see below), whose sum is σ = 36976576896000. Its totient is φ = 2852478768384.

The previous prime is 11416518075143. The next prime is 11416518075167. The reversal of 11416518075144 is 44157081561411.

It is a junction number, because it is equal to n+sod(n) for n = 11416518075093 and 11416518075102.

It is not an unprimeable number, because it can be changed into a prime (11416518075143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137520174 + ... + 137603165.

It is an arithmetic number, because the mean of its divisors is an integer number (288879507000).

Almost surely, 211416518075144 is an apocalyptic number.

11416518075144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11416518075144 is an abundant number, since it is smaller than the sum of its proper divisors (25560058820856).

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

11416518075144 is a wasteful number, since it uses less digits than its factorization.

11416518075144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275123387 (or 275123383 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 11416518075144 in words is "eleven trillion, four hundred sixteen billion, five hundred eighteen million, seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 275123339 550246678 825370017 1100493356 1650740034 1925863373 2200986712 3301480068 3576603407 3851726746 5227343441 5777590119 6602960136 7153206814 7703453492 10454686882 10729810221 11555180238 14306413628 15406906984 15682030323 20909373764 21459620442 23110360476 25036223849 28612827256 31364060646 36591404087 41818747528 42919240884 46220720952 50072447698 62728121292 67955464733 73182808174 75108671547 85838481768 100144895396 109774212261 125456242584 135910929466 146365616348 150217343094 200289790792 203866394199 219548424522 271821858932 292731232696 300434686188 407732788398 439096849044 475688253131 543643717864 600869372376 815465576796 878193698088 951376506262 1427064759393 1630931153592 1902753012524 2854129518786 3805506025048 5708259037572 11416518075144