Search a number
-
+
40240334013040 = 2457677106141417
BaseRepresentation
bin10010010011001001011101…
…10100001000001001110000
312021110221100001202212001201
421021210232310020021300
520233244201001404130
6221330053152140544
711322160663332340
oct1111445664101160
9167427301685051
1040240334013040
111190491453a247
12461aa1a537754
13195b854c15735
149d18dd272d20
1549bb24154bca
hex24992ed08270

40240334013040 has 80 divisors (see below), whose sum is σ = 107082255529152. Its totient is φ = 13776306665472.

The previous prime is 40240334012917. The next prime is 40240334013043. The reversal of 40240334013040 is 4031043304204.

40240334013040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40240334013043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52691589 + ... + 53449828.

Almost surely, 240240334013040 is an apocalyptic number.

40240334013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40240334013040 is an abundant number, since it is smaller than the sum of its proper divisors (66841921516112).

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

40240334013040 is a wasteful number, since it uses less digits than its factorization.

40240334013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106142114 (or 106142108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40240334013040 its reverse (4031043304204), we get a palindrome (44271377317244).

The spelling of 40240334013040 in words is "forty trillion, two hundred forty billion, three hundred thirty-four million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 677 1354 2708 3385 4739 5416 6770 9478 10832 13540 18956 23695 27080 37912 47390 54160 75824 94780 189560 379120 106141417 212282834 424565668 530707085 742989919 849131336 1061414170 1485979838 1698262672 2122828340 2971959676 3714949595 4245656680 5943919352 7429899190 8491313360 11887838704 14859798380 29719596760 59439193520 71857739309 143715478618 287430957236 359288696545 503004175163 574861914472 718577393090 1006008350326 1149723828944 1437154786180 2012016700652 2515020875815 2874309572360 4024033401304 5030041751630 5748619144720 8048066802608 10060083503260 20120167006520 40240334013040