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4020424317 = 32713331937
BaseRepresentation
bin1110111110100010…
…1100111001111101
3101101012010201100100
43233220230321331
531213212034232
61502535351313
7201426020460
oct35750547175
911335121310
104020424317
111783474328
12942522539
134c0c23000
142a1d4d2d7
15187e5bc7c
hexefa2ce7d

4020424317 has 96 divisors (see below), whose sum is σ = 7429560320. Its totient is φ = 2050064640.

The previous prime is 4020424297. The next prime is 4020424319. The reversal of 4020424317 is 7134240204.

4020424317 is a `hidden beast` number, since 402 + 0 + 4 + 243 + 17 = 666.

It is not a de Polignac number, because 4020424317 - 26 = 4020424253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020424319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4290273 + ... + 4291209.

Almost surely, 24020424317 is an apocalyptic number.

It is an amenable number.

4020424317 is a deficient number, since it is larger than the sum of its proper divisors (3409136003).

4020424317 is a wasteful number, since it uses less digits than its factorization.

4020424317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4020424317 is about 63406.8160137378. The cubic root of 4020424317 is about 1590.0982649605.

The spelling of 4020424317 in words is "four billion, twenty million, four hundred twenty-four thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 169 217 273 279 403 507 651 819 937 1183 1209 1521 1953 2197 2811 2821 3549 3627 5239 6559 6591 8433 8463 10647 12181 15379 15717 19677 19773 25389 29047 36543 36673 46137 47151 59031 68107 85267 87141 109629 110019 138411 158353 203329 204321 255801 261423 330057 377611 475059 476749 609987 612963 767403 1108471 1132833 1425177 1430247 1829961 2058589 2643277 3325413 3398499 4290741 4908943 6175767 7929831 9976239 14410123 14726829 18527301 23789493 34362601 43230369 44180487 63816259 103087803 129691107 191448777 309263409 446713813 574346331 1340141439 4020424317