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14040011424432 = 2437614911395137
BaseRepresentation
bin1100110001001111000111…
…1001001100001010110000
31211201012201112110220122010
43030103301321030022300
53320012420411040212
645505520414442520
72646233400012540
oct314236171141260
954635645426563
1014040011424432
114523376477004
1216a906b503440
137aac764a6516
1436777c371320
1519532d8e003c
hexcc4f1e4c2b0

14040011424432 has 160 divisors (see below), whose sum is σ = 42216831235584. Its totient is φ = 3937631846400.

The previous prime is 14040011424401. The next prime is 14040011424497. The reversal of 14040011424432 is 23442411004041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14040011424432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9365968 + ... + 10761104.

Almost surely, 214040011424432 is an apocalyptic number.

14040011424432 is a gapful number since it is divisible by the number (12) 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 14040011424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108415617792).

14040011424432 is an abundant number, since it is smaller than the sum of its proper divisors (28176819811152).

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

14040011424432 is a wasteful number, since it uses less digits than its factorization.

14040011424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395707 (or 1395701 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14040011424432 its reverse (23442411004041), we get a palindrome (37482422428473).

The spelling of 14040011424432 in words is "fourteen trillion, forty billion, eleven million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 491 732 854 976 982 1281 1464 1473 1708 1964 2562 2928 2946 3416 3437 3928 5124 5892 6832 6874 7856 10248 10311 11784 13748 20496 20622 23568 27496 29951 41244 54992 59902 82488 89853 119804 164976 179706 209657 239608 359412 419314 479216 628971 718824 838628 1257942 1395137 1437648 1677256 2515884 2790274 3354512 4185411 5031768 5580548 8370822 9765959 10063536 11161096 16741644 19531918 22322192 29297877 33483288 39063836 58595754 66966576 78127672 85103357 117191508 156255344 170206714 234383016 255310071 340413428 468766032 510620142 595723499 680826856 685012267 1021240284 1191446998 1361653712 1370024534 1787170497 2042480568 2055036801 2382893996 2740049068 3574340994 4084961136 4110073602 4765787992 4795085869 5480098136 7148681988 8220147204 9531575984 9590171738 10960196272 14297363976 14385257607 16440294408 19180343476 28594727952 28770515214 32880588816 38360686952 41785748287 57541030428 76721373904 83571496574 115082060856 125357244861 167142993148 230164121712 250714489722 292500238009 334285986296 501428979444 585000476018 668571972592 877500714027 1002857958888 1170000952036 1755001428054 2005715917776 2340001904072 3510002856108 4680003808144 7020005712216 14040011424432