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1224421101144 = 233329337951047
BaseRepresentation
bin10001110100010101001…
…011110100111001011000
311100001110000022120212000
4101310111023310321120
5130030103300214034
62334254041321000
7154314203431443
oct21642513647130
94301400276760
101224421101144
1143230187790a
12179374196160
138b601c03007
1443395a5c65a
1521cb3b5c599
hex11d152f4e58

1224421101144 has 128 divisors (see below), whose sum is σ = 3421849536000. Its totient is φ = 405666237312.

The previous prime is 1224421101133. The next prime is 1224421101157. The reversal of 1224421101144 is 4411011244221.

1224421101144 is a `hidden beast` number, since 1 + 224 + 421 + 1 + 0 + 1 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23960629 + ... + 24011675.

It is an arithmetic number, because the mean of its divisors is an integer number (26733199500).

Almost surely, 21224421101144 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 1224421101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710924768000).

1224421101144 is an abundant number, since it is smaller than the sum of its proper divisors (2197428434856).

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

1224421101144 is a wasteful number, since it uses less digits than its factorization.

1224421101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51734 (or 51724 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1224421101144 its reverse (4411011244221), we get a palindrome (5635432345365).

The spelling of 1224421101144 in words is "one trillion, two hundred twenty-four billion, four hundred twenty-one million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 379 586 758 879 1137 1172 1516 1758 2274 2344 2637 3032 3411 3516 4548 5274 6822 7032 7911 9096 10233 10548 13644 15822 20466 21096 27288 31644 40932 51047 63288 81864 102094 111047 153141 204188 222094 306282 333141 408376 444188 459423 612564 666282 888376 918846 999423 1225128 1332564 1378269 1837692 1998846 2665128 2756538 2998269 3675384 3997692 5513076 5996538 7995384 11026152 11993076 14956771 19346813 23986152 29913542 38693626 44870313 58040439 59827084 77387252 89740626 116080878 119654168 134610939 154774504 174121317 179481252 232161756 269221878 348242634 358962504 403832817 464323512 522363951 538443756 696485268 807665634 1044727902 1076887512 1392970536 1615331268 2089455804 3230662536 4178911608 5668616209 11337232418 17005848627 22674464836 34011697254 45348929672 51017545881 68023394508 102035091762 136046789016 153052637643 204070183524 306105275286 408140367048 612210550572 1224421101144