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14940160342100 = 225271710559118901
BaseRepresentation
bin1101100101101000011011…
…1100110011100001010100
31221220021011110110210111122
43121122012330303201110
53424234422021421400
651435225342023112
73101251046404430
oct331320674634124
957807143423448
1014940160342100
1148400a5029954
121813605577a98
13844b0aa72996
1439917143d9c0
151ad964035685
hexd9686f33854

14940160342100 has 144 divisors (see below), whose sum is σ = 39235148789760. Its totient is φ = 4820529408000.

The previous prime is 14940160342097. The next prime is 14940160342103. The reversal of 14940160342100 is 124306104941.

14940160342100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14940160342097) and next prime (14940160342103).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14940160342103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125592650 + ... + 125711550.

It is an arithmetic number, because the mean of its divisors is an integer number (272466311040).

Almost surely, 214940160342100 is an apocalyptic number.

14940160342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14940160342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617574394880).

14940160342100 is an abundant number, since it is smaller than the sum of its proper divisors (24294988447660).

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

14940160342100 is a wasteful number, since it uses less digits than its factorization.

14940160342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129498 (or 129491 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 14940160342100 in words is "fourteen trillion, nine hundred forty billion, one hundred sixty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 10559 11900 21118 42236 52795 73913 105590 118901 147826 179503 211180 237802 263975 295652 359006 369565 475604 527950 594505 718012 739130 832307 897515 1055900 1189010 1256521 1478260 1664614 1795030 1847825 2021317 2378020 2513042 2972525 3329228 3590060 3695650 4042634 4161535 4487575 5026084 5945050 6282605 7391300 8085268 8323070 8975150 10106585 11890100 12565210 14149219 16646140 17950300 20213170 20807675 25130420 28298438 31413025 40426340 41615350 50532925 56596876 62826050 70746095 83230700 101065850 125652100 141492190 202131700 282984380 353730475 707460950 1255475659 1414921900 2510951318 5021902636 6277378295 8788329613 12554756590 17576659226 21343086203 25109513180 31386891475 35153318452 42686172406 43941648065 62773782950 85372344812 87883296130 106715431015 125547565900 149401603421 175766592260 213430862030 219708240325 298803206842 426861724060 439416480650 533577155075 597606413684 747008017105 878832961300 1067154310150 1494016034210 2134308620300 2988032068420 3735040085525 7470080171050 14940160342100