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150221412431000 = 23531575531172993
BaseRepresentation
bin100010001010000000100101…
…111011001111010010011000
3201200220000201112000200020222
4202022000211323033102120
5124142211423040243000
61251254433020535212
743433065432313051
oct4212004573172230
9650800645020228
10150221412431000
11439575a8064829
1214a21abb0b1508
1365a8a840746b1
142914a8020d728
15125790c61ca85
hex88a025ecf498

150221412431000 has 128 divisors (see below), whose sum is σ = 353823078173760. Its totient is φ = 59694695424000.

The previous prime is 150221412430967. The next prime is 150221412431017. The reversal of 150221412431000 is 134214122051.

It is a happy number.

It is a super-2 number, since 2×1502214124310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 868280504 + ... + 868453496.

Almost surely, 2150221412431000 is an apocalyptic number.

150221412431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150221412431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176911539086880).

150221412431000 is an abundant number, since it is smaller than the sum of its proper divisors (203601665742760).

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

150221412431000 is a wasteful number, since it uses less digits than its factorization.

150221412431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178702 (or 178688 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 150221412431000 its reverse (134214122051), we get a palindrome (150355626553051).

The spelling of 150221412431000 in words is "one hundred fifty trillion, two hundred twenty-one billion, four hundred twelve million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 3140 3925 5531 6280 7850 11062 15700 19625 22124 27655 31400 39250 44248 55310 78500 110620 138275 157000 172993 221240 276550 345986 553100 691375 691972 864965 868367 1106200 1382750 1383944 1729930 1736734 2765500 3459860 3473468 4324825 4341835 5531000 6919720 6946936 8649650 8683670 17299300 17367340 21624125 21709175 27159901 34598600 34734680 43248250 43418350 54319802 86496500 86836700 108545875 108639604 135799505 172993000 173673400 217091750 217279208 271599010 434183500 543198020 678997525 868367000 956824283 1086396040 1357995050 1913648566 2715990100 3394987625 3827297132 4784121415 5431980200 6789975250 7654594264 9568242830 13579950500 19136485660 23920607075 27159901000 38272971320 47841214150 95682428300 119603035375 150221412431 191364856600 239206070750 300442824862 478412141500 600885649724 751107062155 956824283000 1201771299448 1502214124310 3004428248620 3755535310775 6008856497240 7511070621550 15022141243100 18777676553875 30044282486200 37555353107750 75110706215500 150221412431000