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54342410240 = 21354132359
BaseRepresentation
bin110010100111000011…
…110110000000000000
312012021012211110121202
4302213003312000000
51342243124111430
640544202240332
73632440602626
oct624703660000
9165235743552
1054342410240
1121056968148
12a6471b60a8
1351805bab41
1428b7337516
151630c04d45
hexca70f6000

54342410240 has 112 divisors (see below), whose sum is σ = 133598777760. Its totient is φ = 21206138880.

The previous prime is 54342410209. The next prime is 54342410257. The reversal of 54342410240 is 4201424345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1663181 + ... + 1695539.

It is an arithmetic number, because the mean of its divisors is an integer number (1192846230).

Almost surely, 254342410240 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 54342410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66799388880).

54342410240 is an abundant number, since it is smaller than the sum of its proper divisors (79256367520).

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

54342410240 is an equidigital number, since it uses as much as digits as its factorization.

54342410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32431 (or 32407 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 54342410240 its reverse (4201424345), we get a palindrome (58543834585).

The spelling of 54342410240 in words is "fifty-four billion, three hundred forty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2048 2560 2624 3280 4096 5120 5248 6560 8192 10240 10496 13120 20480 20992 26240 32359 40960 41984 52480 64718 83968 104960 129436 161795 167936 209920 258872 323590 335872 419840 517744 647180 839680 1035488 1294360 1326719 1679360 2070976 2588720 2653438 4141952 5177440 5306876 6633595 8283904 10354880 10613752 13267190 16567808 20709760 21227504 26534380 33135616 41419520 42455008 53068760 66271232 82839040 84910016 106137520 132542464 165678080 169820032 212275040 265084928 331356160 339640064 424550080 662712320 679280128 849100160 1325424640 1358560256 1698200320 2717120512 3396400640 5434241024 6792801280 10868482048 13585602560 27171205120 54342410240