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42234302124014 = 271113411645131277
BaseRepresentation
bin10011001101001011100001…
…00100110100111111101110
312112112120010010112222211112
421212211300210310333232
521013431322320432024
6225454100500552022
711616220243535210
oct1146456044647756
9175476103488745
1042234302124014
1112503515559580
1248a135a3b2612
131a748a68c72b0
14a602189b25b0
154d39277eb00e
hex266970934fee

42234302124014 has 128 divisors (see below), whose sum is σ = 87141993329664. Its totient is φ = 14817317760000.

The previous prime is 42234302123971. The next prime is 42234302124019. The reversal of 42234302124014 is 41042120343224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42234302124019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350315344 + ... + 1350346620.

It is an arithmetic number, because the mean of its divisors is an integer number (680796822888).

Almost surely, 242234302124014 is an apocalyptic number.

42234302124014 is an abundant number, since it is smaller than the sum of its proper divisors (44907691205650).

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

42234302124014 is a wasteful number, since it uses less digits than its factorization.

42234302124014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47802.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42234302124014 its reverse (41042120343224), we get a palindrome (83276422467238).

The spelling of 42234302124014 in words is "forty-two trillion, two hundred thirty-four billion, three hundred two million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 286 287 451 533 574 902 1001 1066 2002 3157 3731 5863 6314 7462 11726 16451 31277 32902 41041 62554 82082 115157 180961 213863 218939 230314 344047 361922 406601 427726 437878 674491 688094 813202 1266727 1282357 1348982 1497041 2352493 2408329 2533454 2564714 2846207 2994082 4472611 4704986 4721437 4816658 5692414 7419401 8768383 8945222 8976499 9442874 14105927 14838802 16467451 16670641 17536766 17952998 28211854 31308277 32934902 33341282 51935807 61378681 62616554 96452213 98741489 103871614 116694487 122757362 183377051 192904426 197482978 233388974 366754102 514537927 675165491 1029075854 1283639357 1350330982 2567278714 3601765489 5659917197 6688993051 7203530978 11319834394 13377986102 21096055007 39619420379 42192110014 46822951357 73578923561 79238840758 93645902714 147157847122 147672385049 232056605077 274248715091 295344770098 464113210154 515052464927 548497430182 1030104929854 1624396235539 1919741005637 3016735866001 3248792471078 3839482011274 6033471732002 21117151062007 42234302124014