Search a number
-
+
34000410676700 = 225213178914619431
BaseRepresentation
bin1111011101100010101100…
…11001101000110111011100
311110101102000002010222221102
413232301112121220313130
513424030320113123300
6200151323435252232
710106306605162436
oct756612631506734
9143342002128842
1034000410676700
11a919547490156
1239916108aa078
1315c82c0346b40
148578b306d656
153de666d560d5
hex1eec56668ddc

34000410676700 has 72 divisors (see below), whose sum is σ = 79500763604640. Its totient is φ = 12546979603200.

The previous prime is 34000410676691. The next prime is 34000410676703. The reversal of 34000410676700 is 767601400043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000410676703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4984016 + ... + 9635415.

Almost surely, 234000410676700 is an apocalyptic number.

It is an amenable number.

34000410676700 is an abundant number, since it is smaller than the sum of its proper divisors (45500352927940).

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

34000410676700 is a wasteful number, since it uses less digits than its factorization.

34000410676700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621247 (or 14621240 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 34000410676700 in words is "thirty-four trillion, four hundred ten million, six hundred seventy-six thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1789 3578 7156 8945 17890 23257 35780 44725 46514 89450 93028 116285 178900 232570 465140 581425 1162850 2325700 14619431 29238862 58477724 73097155 146194310 190052603 292388620 365485775 380105206 730971550 760210412 950263015 1461943100 1900526030 3801052060 4751315075 9502630150 19005260300 26154162059 52308324118 104616648236 130770810295 261541620590 340004106767 523083241180 653854051475 680008213534 1307708102950 1360016427068 1700020533835 2615416205900 3400041067670 6800082135340 8500102669175 17000205338350 34000410676700