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54016226040240 = 24325223336423929
BaseRepresentation
bin11000100100000101000011…
…11101110001100110110000
321002020220022200000012210100
430102002201331301212300
524040000212331241430
6310514413415432400
714243354302456062
oct1422024175614660
9232226280005710
1054016226040240
1116236175443972
126084858985700
13241a929078749
14d4a583919732
1563a1453b0960
hex3120a1f719b0

54016226040240 has 120 divisors (see below), whose sum is σ = 182217966053760. Its totient is φ = 14339733507072.

The previous prime is 54016226040131. The next prime is 54016226040299. The reversal of 54016226040240 is 4204062261045.

54016226040240 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 6 + 2 + 2 + 604 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54016226040195 and 54016226040204.

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, 168051405 + ... + 168372524.

It is an arithmetic number, because the mean of its divisors is an integer number (1518483050448).

Almost surely, 254016226040240 is an apocalyptic number.

It is an amenable number.

54016226040240 is an abundant number, since it is smaller than the sum of its proper divisors (128201740013520).

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

54016226040240 is a wasteful number, since it uses less digits than its factorization.

54016226040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336424171 (or 336424162 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 54016226040240 in words is "fifty-four trillion, sixteen billion, two hundred twenty-six million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 223 240 360 446 669 720 892 1115 1338 1784 2007 2230 2676 3345 3568 4014 4460 5352 6690 8028 8920 10035 10704 13380 16056 17840 20070 26760 32112 40140 53520 80280 160560 336423929 672847858 1009271787 1345695716 1682119645 2018543574 2691391432 3027815361 3364239290 4037087148 5046358935 5382782864 6055630722 6728478580 8074174296 10092717870 12111261444 13456957160 15139076805 16148348592 20185435740 24222522888 26913914320 30278153610 40370871480 48445045776 60556307220 75022536167 80741742960 121112614440 150045072334 225067608501 242225228880 300090144668 375112680835 450135217002 600180289336 675202825503 750225361670 900270434004 1125338042505 1200360578672 1350405651006 1500450723340 1800540868008 2250676085010 2700811302012 3000901446680 3376014127515 3601081736016 4501352170020 5401622604024 6001802893360 6752028255030 9002704340040 10803245208048 13504056510060 18005408680080 27008113020120 54016226040240