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121430424144 = 243711271571787
BaseRepresentation
bin111000100010111010…
…0010011101001010000
3102121102200202200112110
41301011310103221100
53442142142033034
6131441231225320
711526105401121
oct1610564235120
9377380680473
10121430424144
1147553343a37
121b64a978240
13b5b2658ba3
145c3d2d8048
15325a859de9
hex1c45d13a50

121430424144 has 160 divisors (see below), whose sum is σ = 322841051136. Its totient is φ = 39318289920.

The previous prime is 121430424113. The next prime is 121430424217. The reversal of 121430424144 is 441424034121.

It is a happy number.

121430424144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1214304241443 (a number of 34 digits) contains 333 as substring.

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, 67951219 + ... + 67953005.

Almost surely, 2121430424144 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 121430424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161420525568).

121430424144 is an abundant number, since it is smaller than the sum of its proper divisors (201410626992).

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

121430424144 is a wasteful number, since it uses less digits than its factorization.

121430424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 121430424144 its reverse (441424034121), we get a palindrome (562854458265).

The spelling of 121430424144 in words is "one hundred twenty-one billion, four hundred thirty million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 127 142 157 213 254 284 314 381 426 471 508 568 628 762 852 942 1016 1136 1256 1524 1704 1787 1884 2032 2512 3048 3408 3574 3768 5361 6096 7148 7536 9017 10722 11147 14296 18034 19939 21444 22294 27051 28592 33441 36068 39878 42888 44588 54102 59817 66882 72136 79756 85776 89176 108204 119634 126877 133764 144272 159512 178352 216408 226949 239268 253754 267528 280559 319024 380631 432816 453898 478536 507508 535056 561118 680847 761262 841677 907796 957072 1015016 1122236 1361694 1415669 1522524 1683354 1815592 2030032 2244472 2723388 2831338 3045048 3366708 3631184 4247007 4488944 5446776 5662676 6090096 6733416 8494014 10893552 11325352 13466832 16113379 16988028 19919689 22650704 32226758 33976056 35630993 39839378 48340137 59759067 64453516 67952112 71261986 79678756 96680274 106892979 119518134 128907032 142523972 159357512 193360548 213785958 239036268 257814064 285047944 318715024 386721096 427571916 478072536 570095888 773442192 855143832 956145072 1710287664 2529800503 5059601006 7589401509 10119202012 15178803018 20238404024 30357606036 40476808048 60715212072 121430424144