Search a number
-
+
142414341012320 = 25513101677905279
BaseRepresentation
bin100000011000011001101100…
…001101001111101101100000
3200200020200022021210200002112
4200120121230031033231200
5122131304032244343240
61222520124533534452
741666045063215526
oct4030315415175540
9620220267720075
10142414341012320
1141417645849223
1213b80a2a7a4428
1361607cb74c2c0
142724c68824316
15116e7cce06665
hex81866c34fb60

142414341012320 has 96 divisors (see below), whose sum is σ = 365922423659520. Its totient is φ = 52063125350400.

The previous prime is 142414341012299. The next prime is 142414341012371. The reversal of 142414341012320 is 23210143414241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338742560 + ... + 339162719.

It is an arithmetic number, because the mean of its divisors is an integer number (3811691913120).

Almost surely, 2142414341012320 is an apocalyptic number.

142414341012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142414341012320 is an abundant number, since it is smaller than the sum of its proper divisors (223508082647200).

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

142414341012320 is a wasteful number, since it uses less digits than its factorization.

142414341012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677905408 (or 677905400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142414341012320 its reverse (23210143414241), we get a palindrome (165624484426561).

The spelling of 142414341012320 in words is "one hundred forty-two trillion, four hundred fourteen billion, three hundred forty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 202 208 260 404 416 505 520 808 1010 1040 1313 1616 2020 2080 2626 3232 4040 5252 6565 8080 10504 13130 16160 21008 26260 42016 52520 105040 210080 677905279 1355810558 2711621116 3389526395 5423242232 6779052790 8812768627 10846484464 13558105580 17625537254 21692968928 27116211160 35251074508 44063843135 54232422320 68468433179 70502149016 88127686270 108464844640 136936866358 141004298032 176255372540 273873732716 282008596064 342342165895 352510745080 547747465432 684684331790 705021490160 890089631327 1095494930864 1369368663580 1410042980320 1780179262654 2190989861728 2738737327160 3560358525308 4450448156635 5477474654320 7120717050616 8900896313270 10954949308640 14241434101232 17801792626540 28482868202464 35603585253080 71207170506160 142414341012320