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14354830524738 = 2311976597094799
BaseRepresentation
bin1101000011100011111010…
…0100110000000101000010
31212211022022211011020100010
43100320332210300011002
53340142143103242423
650310303524405350
73011050040141244
oct320707644600502
955738284136303
1014354830524738
114634938668740
12173a08b846856
13801868523922
14378ac5688094
1519d60707d693
hexd0e3e930142

14354830524738 has 128 divisors (see below), whose sum is σ = 31741839360000. Its totient is φ = 4291613706240.

The previous prime is 14354830524733. The next prime is 14354830524767. The reversal of 14354830524738 is 83742503845341.

It is a super-2 number, since 2×143548305247382 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14354830524733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2991210463 + ... + 2991215261.

It is an arithmetic number, because the mean of its divisors is an integer number (247983120000).

Almost surely, 214354830524738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14354830524738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870919680000).

14354830524738 is an abundant number, since it is smaller than the sum of its proper divisors (17387008835262).

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

14354830524738 is a wasteful number, since it uses less digits than its factorization.

14354830524738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280.

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 14354830524738 in words is "fourteen trillion, three hundred fifty-four billion, eight hundred thirty million, five hundred twenty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 659 709 1067 1318 1418 1977 2127 2134 3201 3954 4254 4799 6402 7249 7799 9598 14397 14498 15598 21747 23397 28794 43494 46794 52789 63923 68773 105578 127846 137546 158367 191769 206319 316734 383538 412638 465503 467231 703153 756503 931006 934462 1396509 1401693 1406306 1513006 2109459 2269509 2793018 2803386 3162541 3402491 4218918 4539018 5120533 5139541 6325082 6804982 9487623 10207473 10241066 10279082 15361599 15418623 18975246 20414946 30723198 30837246 34787951 37427401 45321407 69575902 74854802 90642814 104363853 112282203 135964221 208727706 224564406 271928442 306766477 330041627 498535477 613532954 660083254 920299431 990124881 997070954 1495606431 1840598862 1980249762 2242241569 2991212862 3374431247 3630457897 4484483138 6726724707 6748862494 7260915794 10123293741 10891373691 13453449414 20246587482 21782747382 24664657259 49329314518 73993971777 147987943554 217497432193 434994864386 652492296579 1304984593158 2392471754123 4784943508246 7177415262369 14354830524738