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34354377113148 = 2234419253059733
BaseRepresentation
bin1111100111110110000000…
…11100011011111000111100
311111122020122121110001020000
413303323000130123320330
514000330231020110043
6201022103304354300
710144010330224401
oct763730034337074
9144566577401200
1034354377113148
11aa45678299954
123a2a137475990
1316227b08b4b81
1486aa915da2a8
153e89822002d3
hex1f3ec071be3c

34354377113148 has 60 divisors (see below), whose sum is σ = 90023469773160. Its totient is φ = 11424128541408.

The previous prime is 34354377113131. The next prime is 34354377113149. The reversal of 34354377113148 is 84131177345343.

34354377113148 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 437 + 71 + 131 + 4 + 8 = 666.

It is a super-2 number, since 2×343543771131482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34354377113094 and 34354377113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354377113149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126394111 + ... + 126665622.

It is an arithmetic number, because the mean of its divisors is an integer number (1500391162886).

Almost surely, 234354377113148 is an apocalyptic number.

It is an amenable number.

34354377113148 is an abundant number, since it is smaller than the sum of its proper divisors (55669092660012).

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

34354377113148 is a wasteful number, since it uses less digits than its factorization.

34354377113148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253060168 (or 253060157 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 34354377113148 in words is "thirty-four trillion, three hundred fifty-four billion, three hundred seventy-seven million, one hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1676 2514 3771 5028 7542 11313 15084 22626 33939 45252 67878 135756 253059733 506119466 759179199 1012238932 1518358398 2277537597 3036716796 4555075194 6832612791 9110150388 13665225582 20497838373 27330451164 40995676746 81991353492 106032028127 212064056254 318096084381 424128112508 636192168762 954288253143 1272384337524 1908576506286 2862864759429 3817153012572 5725729518858 8588594278287 11451459037716 17177188556574 34354377113148