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14012242032240 = 2433546371398997
BaseRepresentation
bin1100101111100111101010…
…1101010111011001110000
31211121120001020110121221000
43023321322231113121300
53314034032430012430
645445045104202000
72644231264042464
oct313717255273160
954546036417830
1014012242032240
114512616368701
1216a37bb609300
137a846c29b5ca
143662a62904a4
15194755a2be60
hexcbe7ab57670

14012242032240 has 160 divisors (see below), whose sum is σ = 48274832266560. Its totient is φ = 3735789382656.

The previous prime is 14012242032179. The next prime is 14012242032241. The reversal of 14012242032240 is 4223024221041.

It is a happy number.

14012242032240 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 2 + 420 + 3 + 224 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012242032241) 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, 9316422 + ... + 10715418.

It is an arithmetic number, because the mean of its divisors is an integer number (301717701666).

Almost surely, 214012242032240 is an apocalyptic number.

14012242032240 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 14012242032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137416133280).

14012242032240 is an abundant number, since it is smaller than the sum of its proper divisors (34262590234320).

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

14012242032240 is a wasteful number, since it uses less digits than its factorization.

14012242032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403656 (or 1403644 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14012242032240 its reverse (4223024221041), we get a palindrome (18235266253281).

The spelling of 14012242032240 in words is "fourteen trillion, twelve billion, two hundred forty-two million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4637 9274 13911 18548 23185 27822 37096 41733 46370 55644 69555 74192 83466 92740 111288 125199 139110 166932 185480 208665 222576 250398 278220 333864 370960 417330 500796 556440 625995 667728 834660 1001592 1112880 1251990 1398997 1669320 2003184 2503980 2797994 3338640 4196991 5007960 5595988 6994985 8393982 10015920 11191976 12590973 13989970 16787964 20984955 22383952 25181946 27979940 33575928 37772919 41969910 50363892 55959880 62954865 67151856 75545838 83939820 100727784 111919760 125909730 151091676 167879640 188864595 201455568 251819460 302183352 335759280 377729190 503638920 604366704 755458380 1007277840 1510916760 3021833520 6487149089 12974298178 19461447267 25948596356 32435745445 38922894534 51897192712 58384341801 64871490890 77845789068 97307236335 103794385424 116768683602 129742981780 155691578136 175153025403 194614472670 233537367204 259485963560 291921709005 311383156272 350306050806 389228945340 467074734408 518971927120 583843418010 700612101612 778457890680 875765127015 934149468816 1167686836020 1401224203224 1556915781360 1751530254030 2335373672040 2802448406448 3503060508060 4670747344080 7006121016120 14012242032240