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14021204613248 = 277311021494413
BaseRepresentation
bin1100110000001001000011…
…1010111001100010000000
31211122102011212010220201202
43030002100322321202000
53314210411340110443
645453130311320332
72644666343525330
oct314022072714200
954572155126652
1014021204613248
1145163a5521448
1216a54a10800a8
137a926a079a91
143668b67250c0
15194acc7b67b8
hexcc090eb9880

14021204613248 has 128 divisors (see below), whose sum is σ = 32985403530240. Its totient is φ = 5809538764800.

The previous prime is 14021204613209. The next prime is 14021204613259. The reversal of 14021204613248 is 84231640212041.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28112090 + ... + 28606502.

It is an arithmetic number, because the mean of its divisors is an integer number (257698465080).

Almost surely, 214021204613248 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 14021204613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492701765120).

14021204613248 is an abundant number, since it is smaller than the sum of its proper divisors (18964198916992).

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

14021204613248 is a wasteful number, since it uses less digits than its factorization.

14021204613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495486 (or 495474 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

Adding to 14021204613248 its reverse (84231640212041), we get a palindrome (98252844825289).

The spelling of 14021204613248 in words is "fourteen trillion, twenty-one billion, two hundred four million, six hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1021 1736 1984 2042 3472 3968 4084 6944 7147 8168 13888 14294 16336 27776 28588 31651 32672 57176 63302 65344 114352 126604 130688 221557 228704 253208 443114 457408 494413 506416 886228 914816 988826 1012832 1772456 1977652 2025664 3460891 3544912 3955304 4051328 6921782 7089824 7910608 13843564 14179648 15326803 15821216 27687128 28359296 30653606 31642432 55374256 61307212 63284864 107287621 110748512 122614424 214575242 221497024 245228848 429150484 442994048 490457696 504795673 858300968 980915392 1009591346 1716601936 1961830784 2019182692 3433203872 3533569711 4038365384 6866407744 7067139422 8076730768 13732815488 14134278844 15648665863 16153461536 28268557688 31297331726 32306923072 56537115376 62594663452 64613846144 109540661041 113074230752 125189326904 219081322082 226148461504 250378653808 438162644164 452296923008 500757307616 876325288328 1001514615232 1752650576656 2003029230464 3505301153312 7010602306624 14021204613248