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14453221026040 = 23517829145917573
BaseRepresentation
bin1101001001010010011100…
…0110101110100011111000
31220011201021211020120102221
43102110213012232203320
53343300144040313130
650423415034333424
73021132201455566
oct322244706564370
956151254216387
1014453221026040
114672638524625
12175516a58a274
1380ac18752c74
1437d77aa60a36
151a0e64d3e87a
hexd25271ae8f8

14453221026040 has 128 divisors (see below), whose sum is σ = 34499800584000. Its totient is φ = 5430615072768.

The previous prime is 14453221026019. The next prime is 14453221026047. The reversal of 14453221026040 is 4062012235441.

14453221026040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 14453221025987 and 14453221026005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14453221026047) 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, 822458694 + ... + 822476266.

Almost surely, 214453221026040 is an apocalyptic number.

14453221026040 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 14453221026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249900292000).

14453221026040 is an abundant number, since it is smaller than the sum of its proper divisors (20046579557960).

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

14453221026040 is a wasteful number, since it uses less digits than its factorization.

14453221026040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19889 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 14453221026040 in words is "fourteen trillion, four hundred fifty-three billion, two hundred twenty-one million, twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 829 1459 1658 2918 3316 4145 5836 6632 7295 8290 11672 14093 14590 16580 17573 24803 28186 29180 33160 35146 49606 56372 58360 70292 70465 87865 99212 112744 124015 140584 140930 175730 198424 248030 281860 298741 351460 496060 563720 597482 702920 992120 1194964 1209511 1493705 2389928 2419022 2987410 4838044 5974820 6047555 9676088 11949640 12095110 14568017 20561687 24190220 25639007 29136034 41123374 48380440 51278014 58272068 72840085 82246748 102556028 102808435 116544136 128195035 145680170 164493496 205112056 205616870 247656289 256390070 291360340 411233740 435863119 495312578 512780140 582720680 822467480 871726238 990625156 1025560280 1238281445 1743452476 1981250312 2179315595 2476562890 3486904952 4358631190 4953125780 8717262380 9906251560 17434524760 21254736803 42509473606 85018947212 106273684015 170037894424 212547368030 361330525651 425094736060 722661051302 850189472120 1445322102604 1806652628255 2890644205208 3613305256510 7226610513020 14453221026040