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3942429309 = 327313313169
BaseRepresentation
bin1110101011111100…
…1011001001111101
3101011202101011022100
43222333023021331
531033230214214
61451111535313
7166461045000
oct35277131175
911152334270
103942429309
111743442545
1292038a539
134aaa15410
14295849537
151811a2309
hexeafcb27d

3942429309 has 96 divisors (see below), whose sum is σ = 7384832000. Its totient is φ = 2011806720.

The previous prime is 3942429307. The next prime is 3942429341. The reversal of 3942429309 is 9039242493.

It is a happy number.

It is not a de Polignac number, because 3942429309 - 21 = 3942429307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942429307) 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, 1242477 + ... + 1245645.

Almost surely, 23942429309 is an apocalyptic number.

3942429309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3942429309 is a deficient number, since it is larger than the sum of its proper divisors (3442402691).

3942429309 is a wasteful number, since it uses less digits than its factorization.

3942429309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3942429309 is about 62788.7673792057. The cubic root of 3942429309 is about 1579.7485725275.

The spelling of 3942429309 in words is "three billion, nine hundred forty-two million, four hundred twenty-nine thousand, three hundred nine".

Divisors: 1 3 7 9 13 21 31 39 49 63 91 93 117 147 217 273 279 343 403 441 637 651 819 1029 1209 1519 1911 1953 2821 3087 3169 3627 4459 4557 5733 8463 9507 10633 13377 13671 19747 22183 25389 28521 31899 40131 41197 59241 66549 95697 98239 123591 138229 155281 177723 199647 288379 294717 370773 414687 465843 687673 865137 884151 1086967 1244061 1277107 1397529 2018653 2063019 2595411 3260901 3831321 4813711 6055959 6189057 8939749 9782703 11493963 14130571 14441133 18167877 26819247 33695977 42391713 43323399 62578243 80457741 101087931 127175139 187734729 303263793 438047701 563204187 1314143103 3942429309