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153223205040 = 24335233084203
BaseRepresentation
bin1000111010110011010…
…0001001000010110000
3112122111101111021222000
42032230310021002300
510002300120030130
6154220105014000
714033004516333
oct2165464110260
9478441437860
10153223205040
1159a88560874
1225842184300
13115ab284189
1475b789a61a
153ebba63260
hex23acd090b0

153223205040 has 160 divisors (see below), whose sum is σ = 550715466240. Its totient is φ = 39083007744.

The previous prime is 153223205029. The next prime is 153223205131. The reversal of 153223205040 is 40502322351.

It is a happy number.

153223205040 is a `hidden beast` number, since 1 + 532 + 23 + 20 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153223204995 and 153223205013.

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, 1492422 + ... + 1591781.

It is an arithmetic number, because the mean of its divisors is an integer number (3441971664).

Almost surely, 2153223205040 is an apocalyptic number.

153223205040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153223205040 is an abundant number, since it is smaller than the sum of its proper divisors (397492261200).

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

153223205040 is a wasteful number, since it uses less digits than its factorization.

153223205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084248 (or 3084236 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 153223205040 its reverse (40502322351), we get a palindrome (193725527391).

The spelling of 153223205040 in words is "one hundred fifty-three billion, two hundred twenty-three million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 3084203 6168406 9252609 12336812 15421015 18505218 24673624 27757827 30842030 37010436 46263045 49347248 55515654 61684060 70936669 74020872 83273481 92526090 111031308 123368120 138789135 141873338 148041744 166546962 185052180 212810007 222062616 246736240 277578270 283746676 333093924 354683345 370104360 416367405 425620014 444125232 555156540 567493352 638430021 666187848 709366690 740208720 832734810 851240028 1064050035 1110313080 1134986704 1276860042 1332375696 1418733380 1665469620 1702480056 1915290063 2128100070 2220626160 2553720084 2837466760 3192150105 3330939240 3404960112 3830580126 4256200140 5107440168 5674933520 6384300210 6661878480 7661160252 8512400280 9576450315 10214880336 12768600420 15322320504 17024800560 19152900630 25537200840 30644641008 38305801260 51074401680 76611602520 153223205040