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40137218674476 = 223721141155397459
BaseRepresentation
bin10010010000001001011001…
…01010010100111100101100
312021010002011210001220201020
421020010230222110330230
520230102010440040401
6221210441140414140
711311550460403200
oct1110045452247454
9167102153056636
1040137218674476
111187510a626180
124602a413a7350
131951c00b6a4c1
149ca91a584b00
154990db691d36
hex24812ca94f2c

40137218674476 has 288 divisors, whose sum is σ = 121826241250560. Its totient is φ = 10164323635200.

The previous prime is 40137218674463. The next prime is 40137218674489. The reversal of 40137218674476 is 67447681273104.

It is an interprime number because it is at equal distance from previous prime (40137218674463) and next prime (40137218674489).

It is a super-2 number, since 2×401372186744762 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411788235 + ... + 411885693.

It is an arithmetic number, because the mean of its divisors is an integer number (423007782120).

Almost surely, 240137218674476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137218674476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60913120625280).

40137218674476 is an abundant number, since it is smaller than the sum of its proper divisors (81689022576084).

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

40137218674476 is a wasteful number, since it uses less digits than its factorization.

40137218674476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99085 (or 99076 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 40137218674476 in words is "forty trillion, one hundred thirty-seven billion, two hundred eighteen million, six hundred seventy-four thousand, four hundred seventy-six".