Search a number
-
+
16034134311624 = 233111317274820621
BaseRepresentation
bin1110100101010011110011…
…1000010100001011001000
32002202211220101111111110110
43221110330320110023020
54100200401340432444
654033551332514320
73243266536620132
oct351247470241310
962684811444413
1016034134311624
11512204689aa70
12196b63317b9a0
138c4021269c40
143d60b0480052
151cc14095acb9
hexe953ce142c8

16034134311624 has 128 divisors (see below), whose sum is σ = 49863453655680. Its totient is φ = 4221244723200.

The previous prime is 16034134311623. The next prime is 16034134311631. The reversal of 16034134311624 is 42611343143061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16034134311623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137351967 + ... + 137468654.

It is an arithmetic number, because the mean of its divisors is an integer number (389558231685).

Almost surely, 216034134311624 is an apocalyptic number.

It is an amenable number.

16034134311624 is an abundant number, since it is smaller than the sum of its proper divisors (33829319344056).

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

16034134311624 is a wasteful number, since it uses less digits than its factorization.

16034134311624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274820671 (or 274820667 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

Adding to 16034134311624 its reverse (42611343143061), we get a palindrome (58645477454685).

The spelling of 16034134311624 in words is "sixteen trillion, thirty-four billion, one hundred thirty-four million, three hundred eleven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 58344 274820621 549641242 824461863 1099282484 1648923726 2198564968 3023026831 3297847452 3572668073 4671950557 6046053662 6595694904 7145336146 9069080493 9343901114 10718004219 12092107324 14015851671 14290672292 18138160986 18687802228 21436008438 24184214648 28031703342 28581344584 36276321972 37375604456 39299348803 42872016876 51391456127 56063406684 60735357241 72552643944 78598697606 85744033752 102782912254 112126813368 117898046409 121470714482 154174368381 157197395212 182206071723 205565824508 235796092818 242941428964 308348736762 314394790424 364412143446 411131649016 471592185636 485882857928 616697473524 668088929651 728824286892 943184371272 1233394947048 1336177859302 1457648573784 2004266788953 2672355718604 4008533577906 5344711437208 8017067155812 16034134311624