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1034122420404 = 2232176194729251
BaseRepresentation
bin11110000110001100111…
…11111110000010110100
310122212020202202222112100
433003012133332002310
5113420340314423104
62111022544222100
7134466342353163
oct17030637760264
93585222688470
101034122420404
11369629168437
1214850560a930
1376695745b48
14380a21913da
151bd77248139
hexf0c67fe0b4

1034122420404 has 144 divisors (see below), whose sum is σ = 2816238874176. Its totient is φ = 318764160000.

The previous prime is 1034122420381. The next prime is 1034122420417. The reversal of 1034122420404 is 4040242214301.

1034122420404 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 12 + 242 + 0 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35338779 + ... + 35368029.

It is an arithmetic number, because the mean of its divisors is an integer number (19557214404).

Almost surely, 21034122420404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034122420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408119437088).

1034122420404 is an abundant number, since it is smaller than the sum of its proper divisors (1782116453772).

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

1034122420404 is a wasteful number, since it uses less digits than its factorization.

1034122420404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30286 (or 30281 counting only the distinct ones).

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

Adding to 1034122420404 its reverse (4040242214301), we get a palindrome (5074364634705).

The spelling of 1034122420404 in words is "one trillion, thirty-four billion, one hundred twenty-two million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 947 1037 1098 1894 2074 2196 2841 3111 3788 4148 5682 6222 8523 9333 11364 12444 16099 17046 18666 29251 32198 34092 37332 48297 57767 58502 64396 87753 96594 115534 117004 144891 173301 175506 193188 231068 263259 289782 346602 351012 497267 519903 526518 579564 693204 982039 994534 1039806 1053036 1491801 1784311 1964078 1989068 2079612 2946117 2983602 3568622 3928156 4475403 5352933 5892234 5967204 7137244 8838351 8950806 10705866 11784468 16058799 17676702 17901612 21411732 27700697 30333287 32117598 35353404 55401394 60666574 64235196 83102091 90999861 110802788 121333148 166204182 181999722 249306273 272999583 332408364 363999444 470911849 498612546 545999166 941823698 997225092 1091998332 1412735547 1689742517 1883647396 2825471094 3379485034 4238206641 5069227551 5650942188 6758970068 8476413282 10138455102 15207682653 16952826564 20276910204 28725622789 30415365306 57451245578 60830730612 86176868367 114902491156 172353736734 258530605101 344707473468 517061210202 1034122420404