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14411103212040 = 23356112171617691
BaseRepresentation
bin1101000110110101100010…
…1100000001001000001000
31220000200120120010221021220
43101231120230001020020
53342102414410241130
650352211443402040
73015111400115133
oct321553054011010
956020516127256
1014411103212040
114656795080587
121748b75383320
13806c659b6432
1437b7030cb21a
1519ecec472410
hexd1b58b01208

14411103212040 has 128 divisors (see below), whose sum is σ = 43978186465920. Its totient is φ = 3776853196800.

The previous prime is 14411103212017. The next prime is 14411103212063. The reversal of 14411103212040 is 4021230111441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14411103212017) and next prime (14411103212063).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14411103212040.

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, 8099595 + ... + 9717285.

It is an arithmetic number, because the mean of its divisors is an integer number (343579581765).

Almost surely, 214411103212040 is an apocalyptic number.

14411103212040 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 14411103212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989093232960).

14411103212040 is an abundant number, since it is smaller than the sum of its proper divisors (29567083253880).

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

14411103212040 is a wasteful number, since it uses less digits than its factorization.

14411103212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618983 (or 1618979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14411103212040 its reverse (4021230111441), we get a palindrome (18432333323481).

The spelling of 14411103212040 in words is "fourteen trillion, four hundred eleven billion, one hundred three million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1217 1220 1464 1830 2434 2440 3651 3660 4868 6085 7302 7320 9736 12170 14604 18255 24340 29208 36510 48680 73020 74237 146040 148474 222711 296948 371185 445422 593896 742370 890844 1113555 1484740 1617691 1781688 2227110 2969480 3235382 4454220 4853073 6470764 8088455 8908440 9706146 12941528 16176910 19412292 24265365 32353820 38824584 48530730 64707640 97061460 98679151 194122920 197358302 296037453 394716604 493395755 592074906 789433208 986791510 1184149812 1480187265 1968729947 1973583020 2368299624 2960374530 3937459894 3947166040 5906189841 5920749060 7874919788 9843649735 11812379682 11841498120 15749839576 19687299470 23624759364 29530949205 39374598940 47249518728 59061898410 78749197880 118123796820 120092526767 236247593640 240185053534 360277580301 480370107068 600462633835 720555160602 960740214136 1200925267670 1441110321204 1801387901505 2401850535340 2882220642408 3602775803010 4803701070680 7205551606020 14411103212040