Search a number
-
+
342051235553340 = 223252833670767611
BaseRepresentation
bin100110111000110000000001…
…0011000111110000000111100
31122212002210000201110020022100
41031301200002120332000330
5324313131412300201330
63211252100205145100
7132022246325211015
oct11561400230760074
91585083021406270
10342051235553340
1199a96129237995
12324439a285b190
13118b23a6c656c1
14606752223800c
15298280e60d060
hex137180263e03c

342051235553340 has 72 divisors (see below), whose sum is σ = 1037921655174768. Its totient is φ = 91181465832960.

The previous prime is 342051235553191. The next prime is 342051235553371. The reversal of 342051235553340 is 43355532150243.

342051235553340 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 5 + 1 + 23 + 55 + 533 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334873866 + ... + 335893745.

It is an arithmetic number, because the mean of its divisors is an integer number (14415578544094).

Almost surely, 2342051235553340 is an apocalyptic number.

342051235553340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342051235553340 is an abundant number, since it is smaller than the sum of its proper divisors (695870419621428).

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

342051235553340 is a wasteful number, since it uses less digits than its factorization.

342051235553340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670770459 (or 670770454 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 342051235553340 in words is "three hundred forty-two trillion, fifty-one billion, two hundred thirty-five million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2833 5666 8499 11332 14165 16998 25497 28330 33996 42495 50994 56660 84990 101988 127485 169980 254970 509940 670767611 1341535222 2012302833 2683070444 3353838055 4024605666 6036908499 6707676110 8049211332 10061514165 12073816998 13415352220 20123028330 24147633996 30184542495 40246056660 60369084990 120738169980 1900284641963 3800569283926 5700853925889 7601138567852 9501423209815 11401707851778 17102561777667 19002846419630 22803415703556 28504269629445 34205123555334 38005692839260 57008539258890 68410247110668 85512808888335 114017078517780 171025617776670 342051235553340