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40022977350720 = 26357133712382121
BaseRepresentation
bin10010001100110100100110…
…10110010000110001000000
312020201011022002212100221010
421012122103112100301000
520221214024200210340
6221042145120400520
711300364455231310
oct1106322326206100
9166634262770833
1040022977350720
1111830716354821
1245a487a176140
1319441c5a56690
149c519dd8d440
15496152055b80
hex246693590c40

40022977350720 has 448 divisors, whose sum is σ = 160624452635136. Its totient is φ = 8216180490240.

The previous prime is 40022977350673. The next prime is 40022977350749. The reversal of 40022977350720 is 2705377922004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×400229773507202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40022977350720.

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 63 ways as a sum of consecutive naturals, for example, 2958741 + ... + 9423380.

It is an arithmetic number, because the mean of its divisors is an integer number (358536724632).

Almost surely, 240022977350720 is an apocalyptic number.

40022977350720 is a gapful number since it is divisible by the number (40) 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 40022977350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80312226317568).

40022977350720 is an abundant number, since it is smaller than the sum of its proper divisors (120601475284416).

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

40022977350720 is a wasteful number, since it uses less digits than its factorization.

40022977350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382198 (or 12382188 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 40022977350720 in words is "forty trillion, twenty-two billion, nine hundred seventy-seven million, three hundred fifty thousand, seven hundred twenty".