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1214411310552 = 233113291310927
BaseRepresentation
bin10001101011000000100…
…011100000010111011000
311022002121102010112120010
4101223000203200113120
5124344103243414202
62325520505001520
7153511146551466
oct21530043402730
94262542115503
101214411310552
11429035586000
1217743ba832a0
138a6981983bb
1442ac64ab836
15218c9eb876c
hex11ac08e05d8

1214411310552 has 128 divisors (see below), whose sum is σ = 3454557465600. Its totient is φ = 355313383040.

The previous prime is 1214411310533. The next prime is 1214411310569. The reversal of 1214411310552 is 2550131144121.

It is a congruent number.

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, 270913 + ... + 1581839.

It is an arithmetic number, because the mean of its divisors is an integer number (26988730200).

Almost surely, 21214411310552 is an apocalyptic number.

1214411310552 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 1214411310552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727278732800).

1214411310552 is an abundant number, since it is smaller than the sum of its proper divisors (2240146155048).

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

1214411310552 is a wasteful number, since it uses less digits than its factorization.

1214411310552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310998 (or 1310972 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1214411310552 its reverse (2550131144121), we get a palindrome (3764542454673).

The spelling of 1214411310552 in words is "one trillion, two hundred fourteen billion, four hundred eleven million, three hundred ten thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 132 174 232 242 264 319 348 363 484 638 696 726 957 968 1276 1331 1452 1914 2552 2662 2904 3509 3828 3993 5324 7018 7656 7986 10527 10648 14036 15972 21054 28072 31944 38599 42108 77198 84216 115797 154396 231594 308792 463188 926376 1310927 2621854 3932781 5243708 7865562 10487416 14420197 15731124 28840394 31462248 38016883 43260591 57680788 76033766 86521182 114050649 115361576 152067532 158622167 173042364 228101298 304135064 317244334 346084728 418185713 456202596 475866501 634488668 836371426 912405192 951733002 1254557139 1268977336 1672742852 1744843837 1903466004 2509114278 3345485704 3489687674 3806932008 4600042843 5018228556 5234531511 6979375348 9200085686 10036457112 10469063022 13800128529 13958750696 18400171372 20938126044 27600257058 36800342744 41876252088 50600471273 55200514116 101200942546 110401028232 151801413819 202401885092 303602827638 404803770184 607205655276 1214411310552