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34033404437701 = 437921134741441
BaseRepresentation
bin1111011110100000001001…
…11110110110010011000101
311110111120011110201201100121
413233100010332312103011
513430100403014001301
6200214421414141541
710111555326420454
oct757200476662305
9143446143651317
1034033404437701
11a931538613129
123997a9a3518b1
1315cb44aa1a746
14859322d38b9b
153e04486e03a1
hex1ef404fb64c5

34033404437701 has 16 divisors (see below), whose sum is σ = 35282397525760. Its totient is φ = 32805606113280.

The previous prime is 34033404437687. The next prime is 34033404437737. The reversal of 34033404437701 is 10773440433043.

It is a cyclic number.

It is not a de Polignac number, because 34033404437701 - 27 = 34033404437573 is a prime.

It is a super-3 number, since 3×340334044377013 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033404437741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4807141 + ... + 9548581.

It is an arithmetic number, because the mean of its divisors is an integer number (2205149845360).

Almost surely, 234033404437701 is an apocalyptic number.

It is an amenable number.

34033404437701 is a deficient number, since it is larger than the sum of its proper divisors (1248993088059).

34033404437701 is a wasteful number, since it uses less digits than its factorization.

34033404437701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743676.

The product of its (nonzero) digits is 1016064, while the sum is 43.

The spelling of 34033404437701 in words is "thirty-four trillion, thirty-three billion, four hundred four million, four hundred thirty-seven thousand, seven hundred one".

Divisors: 1 43 79 2113 3397 90859 166927 4741441 7177861 203881963 374573839 10018664833 16106675077 430802587819 791474521807 34033404437701