Search a number
-
+
40141001231010 = 232517191137360987
BaseRepresentation
bin10010010000010000011100…
…00111101000101010100010
312021010102221101121200210200
421020020032013220222202
520230132232303343020
6221212304342010030
711312043300531621
oct1110101607505242
9167112841550720
1040141001231010
11118767807a2959
124603718116916
131952384708034
149cab98a956b8
1549925d7b4590
hex24820e1e8aa2

40141001231010 has 96 divisors (see below), whose sum is σ = 111084380439552. Its totient is φ = 10021857538560.

The previous prime is 40141001230987. The next prime is 40141001231029. The reversal of 40141001231010 is 1013210014104.

40141001231010 is a `hidden beast` number, since 401 + 41 + 0 + 0 + 123 + 101 + 0 = 666.

It is a super-2 number, since 2×401410012310102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68388264 + ... + 68972723.

It is an arithmetic number, because the mean of its divisors is an integer number (1157128962912).

Almost surely, 240141001231010 is an apocalyptic number.

40141001231010 is an abundant number, since it is smaller than the sum of its proper divisors (70943379208542).

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

40141001231010 is a wasteful number, since it uses less digits than its factorization.

40141001231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137361208 (or 137361205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 40141001231010 its reverse (1013210014104), we get a palindrome (41154211245114).

The spelling of 40141001231010 in words is "forty trillion, one hundred forty-one billion, one million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 191 255 306 382 510 573 765 955 1146 1530 1719 1910 2865 3247 3438 5730 6494 8595 9741 16235 17190 19482 29223 32470 48705 58446 97410 146115 292230 137360987 274721974 412082961 686804935 824165922 1236248883 1373609870 2060414805 2335136779 2472497766 4120829610 4670273558 6181244415 7005410337 11675683895 12362488830 14010820674 21016231011 23351367790 26235948517 35027051685 42032462022 52471897034 70054103370 78707845551 105081155055 131179742585 157415691102 210162310110 236123536653 262359485170 393539227755 446011124789 472247073306 787078455510 892022249578 1180617683265 1338033374367 2230055623945 2361235366530 2676066748734 4014100123101 4460111247890 6690166871835 8028200246202 13380333743670 20070500615505 40141001231010