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134324124440 = 235111929554051
BaseRepresentation
bin111110100011001010…
…1110111101100011000
3110211201021112112012212
41331012111313230120
54200043433440230
6141412504054252
712463451135102
oct1750625675430
9424637475185
10134324124440
1151a6a5148a0
1222048a64388
13c8889bc84c
1467038b2572
1537627b0895
hex1f46577b18

134324124440 has 128 divisors (see below), whose sum is σ = 359025696000. Its totient is φ = 44678592000.

The previous prime is 134324124433. The next prime is 134324124457. The reversal of 134324124440 is 44421423431.

It is a junction number, because it is equal to n+sod(n) for n = 134324124397 and 134324124406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34586 + ... + 519465.

It is an arithmetic number, because the mean of its divisors is an integer number (2804888250).

Almost surely, 2134324124440 is an apocalyptic number.

134324124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134324124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179512848000).

134324124440 is an abundant number, since it is smaller than the sum of its proper divisors (224701571560).

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

134324124440 is a wasteful number, since it uses less digits than its factorization.

134324124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554121 (or 554117 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134324124440 its reverse (44421423431), we get a palindrome (178745547871).

The spelling of 134324124440 in words is "one hundred thirty-four billion, three hundred twenty-four million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 29 38 40 44 55 58 76 88 95 110 116 145 152 190 209 220 232 290 319 380 418 440 551 580 638 760 836 1045 1102 1160 1276 1595 1672 2090 2204 2552 2755 3190 4180 4408 5510 6061 6380 8360 11020 12122 12760 22040 24244 30305 48488 60610 121220 242440 554051 1108102 2216204 2770255 4432408 5540510 6094561 10526969 11081020 12189122 16067479 21053938 22162040 24378244 30472805 32134958 42107876 48756488 52634845 60945610 64269916 80337395 84215752 105269690 115796659 121891220 128539832 160674790 176742269 210539380 231593318 243782440 305282101 321349580 353484538 421078760 463186636 578983295 610564202 642699160 706969076 883711345 926373272 1157966590 1221128404 1413938152 1526410505 1767422690 2315933180 2442256808 3052821010 3358103111 3534845380 4631866360 6105642020 6716206222 7069690760 12211284040 13432412444 16790515555 26864824888 33581031110 67162062220 134324124440