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14003012032344 = 2333197697147207
BaseRepresentation
bin1100101111000101010010…
…0011101101011101011000
31211120200012222121001101000
43023301110203231131120
53313411132040013334
645440521145225000
72643453456246006
oct313612443553530
954520188531330
1014003012032344
11450970a264115
1216a1a64492160
137a762ac8c0ca
14365a6c4c7a76
151943b556c299
hexcbc548ed758

14003012032344 has 128 divisors (see below), whose sum is σ = 39101140108800. Its totient is φ = 4643212371840.

The previous prime is 14003012032249. The next prime is 14003012032357. The reversal of 14003012032344 is 44323021030041.

14003012032344 is a `hidden beast` number, since 1 + 400 + 3 + 0 + 1 + 20 + 3 + 234 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296606389 + ... + 296653595.

It is an arithmetic number, because the mean of its divisors is an integer number (305477657100).

Almost surely, 214003012032344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003012032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550570054400).

14003012032344 is an abundant number, since it is smaller than the sum of its proper divisors (25098128076456).

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

14003012032344 is a wasteful number, since it uses less digits than its factorization.

14003012032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54390 (or 54380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14003012032344 its reverse (44323021030041), we get a palindrome (58326033062385).

The spelling of 14003012032344 in words is "fourteen trillion, three billion, twelve million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 6971 7092 10638 13942 14184 20913 21276 27884 41826 42552 47207 55768 62739 83652 94414 125478 141621 167304 188217 188828 250956 283242 376434 377656 424863 501912 566484 752868 849726 1132968 1274589 1373287 1505736 1699452 2549178 2746574 3398904 4119861 5098356 5493148 8239722 9299779 10196712 10986296 12359583 16479444 18599558 24719166 27899337 32958888 37078749 37199116 49438332 55798674 74157498 74398232 83698011 98876664 111597348 148314996 167396022 223194696 251094033 296629992 329079997 334792044 502188066 658159994 669584088 987239991 1004376132 1316319988 1974479982 2008752264 2632639976 2961719973 3948959964 5923439946 7897919928 8885159919 11846879892 17770319838 23693759784 35540639676 64828759409 71081279352 129657518818 194486278227 259315037636 388972556454 518630075272 583458834681 777945112908 1166917669362 1555890225816 1750376504043 2333835338724 3500753008086 4667670677448 7001506016172 14003012032344