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542033246440 = 23575696615147
BaseRepresentation
bin1111110001100111011…
…00101111100011101000
31220211002020011212111201
413320303230233203220
532340041002341230
61053001233333544
754106042401340
oct7706354574350
91824066155451
10542033246440
111999697006a4
1289071a072b4
133c16251822a
141c33d861d20
15e175d985ca
hex7e33b2f8e8

542033246440 has 128 divisors (see below), whose sum is σ = 1398633350400. Its totient is φ = 185196718080.

The previous prime is 542033246431. The next prime is 542033246449. The reversal of 542033246440 is 44642330245.

It is an interprime number because it is at equal distance from previous prime (542033246431) and next prime (542033246449).

It is a self number, because there is not a number n which added to its sum of digits gives 542033246440.

It is not an unprimeable number, because it can be changed into a prime (542033246449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105307947 + ... + 105313093.

It is an arithmetic number, because the mean of its divisors is an integer number (10926823050).

Almost surely, 2542033246440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542033246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699316675200).

542033246440 is an abundant number, since it is smaller than the sum of its proper divisors (856600103960).

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

542033246440 is a wasteful number, since it uses less digits than its factorization.

542033246440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 542033246440 its reverse (44642330245), we get a palindrome (586675576685).

The spelling of 542033246440 in words is "five hundred forty-two billion, thirty-three million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 661 1138 1322 2276 2644 2845 3305 3983 4552 4627 5147 5288 5690 6610 7966 9254 10294 11380 13220 15932 18508 19915 20588 22760 23135 25735 26440 31864 36029 37016 39830 41176 46270 51470 72058 79660 92540 102940 144116 159320 180145 185080 205880 288232 360290 376109 720580 752218 1441160 1504436 1880545 2632763 2928643 3008872 3402167 3761090 5265526 5857286 6804334 7522180 10531052 11714572 13163815 13608668 14643215 15044360 17010835 20500501 21062104 23429144 23815169 26327630 27217336 29286430 34021670 41001002 47630338 52655260 58572860 68043340 82002004 95260676 102502505 105310520 117145720 119075845 136086680 164004008 190521352 205005010 238151690 410010020 476303380 820020040 952606760 1935833023 3871666046 7743332092 9679165115 13550831161 15486664184 19358330230 27101662322 38716660460 54203324644 67754155805 77433320920 108406649288 135508311610 271016623220 542033246440