Search a number
-
+
40207882411215 = 345293423404207
BaseRepresentation
bin10010010010001101000001…
…00011000101110011001111
312021100211120110100200020000
421021012200203011303033
520232231220344124330
6221303125101455343
711316631544301321
oct1111064043056317
9167324513320200
1040207882411215
11118a2081449502
124614682571553
13195878296848c
149d01013b5611
1549ad751b0560
hex2491a08c5ccf

40207882411215 has 40 divisors (see below), whose sum is σ = 74561743650240. Its totient is φ = 20704748637888.

The previous prime is 40207882411171. The next prime is 40207882411237. The reversal of 40207882411215 is 51211428870204.

40207882411215 is a `hidden beast` number, since 4 + 0 + 207 + 8 + 8 + 2 + 411 + 21 + 5 = 666.

It is not a de Polignac number, because 40207882411215 - 216 = 40207882345679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1711690359 + ... + 1711713848.

It is an arithmetic number, because the mean of its divisors is an integer number (1864043591256).

Almost surely, 240207882411215 is an apocalyptic number.

40207882411215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40207882411215 is a deficient number, since it is larger than the sum of its proper divisors (34353861239025).

40207882411215 is a wasteful number, since it uses less digits than its factorization.

40207882411215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423404253 (or 3423404244 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 40207882411215 in words is "forty trillion, two hundred seven billion, eight hundred eighty-two million, four hundred eleven thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 11745 3423404207 10270212621 17117021035 30810637863 51351063105 92431913589 99278722003 154053189315 277295740767 297836166009 462159567945 496393610015 893508498027 1386478703835 1489180830045 2680525494081 4467542490135 8041576482243 13402627470405 40207882411215